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Finding the Fourth Proportional to 2,425.61, 3,638.28 and 865.55

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Solution

The fourth proportional to 2,425.61, 3,638.28 and 865.55 is: 1,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.61 : 3,638.28 = 865.55 : x
  2. Step 2: Convert to fraction form
    2,425.61/3,638.28 = 865.55/x
  3. Step 3: Cross multiply
    2,425.61x = 3,638.28 × 865.55
  4. Step 4: Simplify right side
    2,425.61x = 3,149,113.25
  5. Step 5: Solve for x
    x = 3,149,113.25/2,425.61
  6. Step 6: Final answer
    x = 1,298.28

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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.