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Finding the Fourth Proportional to 3,132.92, 4,696.86 and 1,813.52

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Solution

The fourth proportional to 3,132.92, 4,696.86 and 1,813.52 is: 2,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.92 : 4,696.86 = 1,813.52 : x
  2. Step 2: Convert to fraction form
    3,132.92/4,696.86 = 1,813.52/x
  3. Step 3: Cross multiply
    3,132.92x = 4,696.86 × 1,813.52
  4. Step 4: Simplify right side
    3,132.92x = 8,517,849.55
  5. Step 5: Solve for x
    x = 8,517,849.55/3,132.92
  6. Step 6: Final answer
    x = 2,718.82

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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.