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Finding the Fourth Proportional to 2,617.38, 3,925.05 and 1,057.10

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Solution

The fourth proportional to 2,617.38, 3,925.05 and 1,057.10 is: 1,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.38 : 3,925.05 = 1,057.10 : x
  2. Step 2: Convert to fraction form
    2,617.38/3,925.05 = 1,057.10/x
  3. Step 3: Cross multiply
    2,617.38x = 3,925.05 × 1,057.10
  4. Step 4: Simplify right side
    2,617.38x = 4,149,146.77
  5. Step 5: Solve for x
    x = 4,149,146.77/2,617.38
  6. Step 6: Final answer
    x = 1,585.23

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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.