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Finding the Fourth Proportional to 2,793.74, 3,854.51 and 1,614.89

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Solution

The fourth proportional to 2,793.74, 3,854.51 and 1,614.89 is: 2,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.74 : 3,854.51 = 1,614.89 : x
  2. Step 2: Convert to fraction form
    2,793.74/3,854.51 = 1,614.89/x
  3. Step 3: Cross multiply
    2,793.74x = 3,854.51 × 1,614.89
  4. Step 4: Simplify right side
    2,793.74x = 6,224,600.13
  5. Step 5: Solve for x
    x = 6,224,600.13/2,793.74
  6. Step 6: Final answer
    x = 2,228.05

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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.