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Finding the Fourth Proportional to 2,592.71, 3,882.87 and 1,420.95

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Solution

The fourth proportional to 2,592.71, 3,882.87 and 1,420.95 is: 2,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.71 : 3,882.87 = 1,420.95 : x
  2. Step 2: Convert to fraction form
    2,592.71/3,882.87 = 1,420.95/x
  3. Step 3: Cross multiply
    2,592.71x = 3,882.87 × 1,420.95
  4. Step 4: Simplify right side
    2,592.71x = 5,517,364.13
  5. Step 5: Solve for x
    x = 5,517,364.13/2,592.71
  6. Step 6: Final answer
    x = 2,128.03

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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.