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Finding the Fourth Proportional to 2,734.58, 3,772.51 and 1,614.76

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Solution

The fourth proportional to 2,734.58, 3,772.51 and 1,614.76 is: 2,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.58 : 3,772.51 = 1,614.76 : x
  2. Step 2: Convert to fraction form
    2,734.58/3,772.51 = 1,614.76/x
  3. Step 3: Cross multiply
    2,734.58x = 3,772.51 × 1,614.76
  4. Step 4: Simplify right side
    2,734.58x = 6,091,684.78
  5. Step 5: Solve for x
    x = 6,091,684.78/2,734.58
  6. Step 6: Final answer
    x = 2,227.65

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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.