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Finding the Fourth Proportional to 3,431.32, 5,146.98 and 834.25

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Solution

The fourth proportional to 3,431.32, 5,146.98 and 834.25 is: 1,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.32 : 5,146.98 = 834.25 : x
  2. Step 2: Convert to fraction form
    3,431.32/5,146.98 = 834.25/x
  3. Step 3: Cross multiply
    3,431.32x = 5,146.98 × 834.25
  4. Step 4: Simplify right side
    3,431.32x = 4,293,868.07
  5. Step 5: Solve for x
    x = 4,293,868.07/3,431.32
  6. Step 6: Final answer
    x = 1,251.38

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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.