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Finding the Fourth Proportional to 2,348.52, 3,517.92 and 1,371.66

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Solution

The fourth proportional to 2,348.52, 3,517.92 and 1,371.66 is: 2,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.52 : 3,517.92 = 1,371.66 : x
  2. Step 2: Convert to fraction form
    2,348.52/3,517.92 = 1,371.66/x
  3. Step 3: Cross multiply
    2,348.52x = 3,517.92 × 1,371.66
  4. Step 4: Simplify right side
    2,348.52x = 4,825,390.15
  5. Step 5: Solve for x
    x = 4,825,390.15/2,348.52
  6. Step 6: Final answer
    x = 2,054.65

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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.