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Finding the Fourth Proportional to 2,732.57, 3,769.66 and 1,612.76

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Solution

The fourth proportional to 2,732.57, 3,769.66 and 1,612.76 is: 2,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.57 : 3,769.66 = 1,612.76 : x
  2. Step 2: Convert to fraction form
    2,732.57/3,769.66 = 1,612.76/x
  3. Step 3: Cross multiply
    2,732.57x = 3,769.66 × 1,612.76
  4. Step 4: Simplify right side
    2,732.57x = 6,079,552.16
  5. Step 5: Solve for x
    x = 6,079,552.16/2,732.57
  6. Step 6: Final answer
    x = 2,224.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.