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Finding the Fourth Proportional to 2,642.57, 3,965.21 and 1,344.04

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Solution

The fourth proportional to 2,642.57, 3,965.21 and 1,344.04 is: 2,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.57 : 3,965.21 = 1,344.04 : x
  2. Step 2: Convert to fraction form
    2,642.57/3,965.21 = 1,344.04/x
  3. Step 3: Cross multiply
    2,642.57x = 3,965.21 × 1,344.04
  4. Step 4: Simplify right side
    2,642.57x = 5,329,374.30
  5. Step 5: Solve for x
    x = 5,329,374.30/2,642.57
  6. Step 6: Final answer
    x = 2,016.74

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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.