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Finding the Fourth Proportional to 2,086.16, 3,129.78 and 625.32

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Solution

The fourth proportional to 2,086.16, 3,129.78 and 625.32 is: 938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.16 : 3,129.78 = 625.32 : x
  2. Step 2: Convert to fraction form
    2,086.16/3,129.78 = 625.32/x
  3. Step 3: Cross multiply
    2,086.16x = 3,129.78 × 625.32
  4. Step 4: Simplify right side
    2,086.16x = 1,957,114.03
  5. Step 5: Solve for x
    x = 1,957,114.03/2,086.16
  6. Step 6: Final answer
    x = 938.14

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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.