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Finding the Fourth Proportional to 2,591.06, 3,882.02 and 1,615.70

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Solution

The fourth proportional to 2,591.06, 3,882.02 and 1,615.70 is: 2,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.06 : 3,882.02 = 1,615.70 : x
  2. Step 2: Convert to fraction form
    2,591.06/3,882.02 = 1,615.70/x
  3. Step 3: Cross multiply
    2,591.06x = 3,882.02 × 1,615.70
  4. Step 4: Simplify right side
    2,591.06x = 6,272,179.71
  5. Step 5: Solve for x
    x = 6,272,179.71/2,591.06
  6. Step 6: Final answer
    x = 2,420.70

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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.