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Finding the Fourth Proportional to 3,101.50, 4,280.07 and 1,704.25

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Solution

The fourth proportional to 3,101.50, 4,280.07 and 1,704.25 is: 2,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.50 : 4,280.07 = 1,704.25 : x
  2. Step 2: Convert to fraction form
    3,101.50/4,280.07 = 1,704.25/x
  3. Step 3: Cross multiply
    3,101.50x = 4,280.07 × 1,704.25
  4. Step 4: Simplify right side
    3,101.50x = 7,294,309.30
  5. Step 5: Solve for x
    x = 7,294,309.30/3,101.50
  6. Step 6: Final answer
    x = 2,351.87

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.