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Finding the Fourth Proportional to 2,425.86, 3,639.15 and 865.42

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Solution

The fourth proportional to 2,425.86, 3,639.15 and 865.42 is: 1,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.86 : 3,639.15 = 865.42 : x
  2. Step 2: Convert to fraction form
    2,425.86/3,639.15 = 865.42/x
  3. Step 3: Cross multiply
    2,425.86x = 3,639.15 × 865.42
  4. Step 4: Simplify right side
    2,425.86x = 3,149,384.10
  5. Step 5: Solve for x
    x = 3,149,384.10/2,425.86
  6. Step 6: Final answer
    x = 1,298.25

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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.