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Finding the Fourth Proportional to 2,592.72, 3,882.60 and 1,615.86

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Solution

The fourth proportional to 2,592.72, 3,882.60 and 1,615.86 is: 2,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.72 : 3,882.60 = 1,615.86 : x
  2. Step 2: Convert to fraction form
    2,592.72/3,882.60 = 1,615.86/x
  3. Step 3: Cross multiply
    2,592.72x = 3,882.60 × 1,615.86
  4. Step 4: Simplify right side
    2,592.72x = 6,273,738.04
  5. Step 5: Solve for x
    x = 6,273,738.04/2,592.72
  6. Step 6: Final answer
    x = 2,419.75

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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.