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Finding the Fourth Proportional to 1,734.92, 2,614.08 and 1,433.52

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Solution

The fourth proportional to 1,734.92, 2,614.08 and 1,433.52 is: 2,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.92 : 2,614.08 = 1,433.52 : x
  2. Step 2: Convert to fraction form
    1,734.92/2,614.08 = 1,433.52/x
  3. Step 3: Cross multiply
    1,734.92x = 2,614.08 × 1,433.52
  4. Step 4: Simplify right side
    1,734.92x = 3,747,335.96
  5. Step 5: Solve for x
    x = 3,747,335.96/1,734.92
  6. Step 6: Final answer
    x = 2,159.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.