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Finding the Fourth Proportional to 2,086.68, 3,129.52 and 625.48

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Solution

The fourth proportional to 2,086.68, 3,129.52 and 625.48 is: 938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.68 : 3,129.52 = 625.48 : x
  2. Step 2: Convert to fraction form
    2,086.68/3,129.52 = 625.48/x
  3. Step 3: Cross multiply
    2,086.68x = 3,129.52 × 625.48
  4. Step 4: Simplify right side
    2,086.68x = 1,957,452.17
  5. Step 5: Solve for x
    x = 1,957,452.17/2,086.68
  6. Step 6: Final answer
    x = 938.07

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