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Finding the Fourth Proportional to 2,344.78, 3,517.17 and 1,371.16

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Solution

The fourth proportional to 2,344.78, 3,517.17 and 1,371.16 is: 2,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.78 : 3,517.17 = 1,371.16 : x
  2. Step 2: Convert to fraction form
    2,344.78/3,517.17 = 1,371.16/x
  3. Step 3: Cross multiply
    2,344.78x = 3,517.17 × 1,371.16
  4. Step 4: Simplify right side
    2,344.78x = 4,822,602.82
  5. Step 5: Solve for x
    x = 4,822,602.82/2,344.78
  6. Step 6: Final answer
    x = 2,056.74

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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.