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Finding the Fourth Proportional to 2,539.70, 3,806.51 and 1,442.55

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Solution

The fourth proportional to 2,539.70, 3,806.51 and 1,442.55 is: 2,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.70 : 3,806.51 = 1,442.55 : x
  2. Step 2: Convert to fraction form
    2,539.70/3,806.51 = 1,442.55/x
  3. Step 3: Cross multiply
    2,539.70x = 3,806.51 × 1,442.55
  4. Step 4: Simplify right side
    2,539.70x = 5,491,073.79
  5. Step 5: Solve for x
    x = 5,491,073.79/2,539.70
  6. Step 6: Final answer
    x = 2,162.10

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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.