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Finding the Fourth Proportional to 3,431.34, 5,146.98 and 834.28

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Solution

The fourth proportional to 3,431.34, 5,146.98 and 834.28 is: 1,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.34 : 5,146.98 = 834.28 : x
  2. Step 2: Convert to fraction form
    3,431.34/5,146.98 = 834.28/x
  3. Step 3: Cross multiply
    3,431.34x = 5,146.98 × 834.28
  4. Step 4: Simplify right side
    3,431.34x = 4,294,022.47
  5. Step 5: Solve for x
    x = 4,294,022.47/3,431.34
  6. Step 6: Final answer
    x = 1,251.41

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,432.34, 5,148.48 and 835.28
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.