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Finding the Fourth Proportional to 2,425.24, 3,638.15 and 865.47

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Solution

The fourth proportional to 2,425.24, 3,638.15 and 865.47 is: 1,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.24 : 3,638.15 = 865.47 : x
  2. Step 2: Convert to fraction form
    2,425.24/3,638.15 = 865.47/x
  3. Step 3: Cross multiply
    2,425.24x = 3,638.15 × 865.47
  4. Step 4: Simplify right side
    2,425.24x = 3,148,701.78
  5. Step 5: Solve for x
    x = 3,148,701.78/2,425.24
  6. Step 6: Final answer
    x = 1,298.30

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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.