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Finding the Fourth Proportional to 2,078.52, 2,869.39 and 1,449.55

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Solution

The fourth proportional to 2,078.52, 2,869.39 and 1,449.55 is: 2,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.52 : 2,869.39 = 1,449.55 : x
  2. Step 2: Convert to fraction form
    2,078.52/2,869.39 = 1,449.55/x
  3. Step 3: Cross multiply
    2,078.52x = 2,869.39 × 1,449.55
  4. Step 4: Simplify right side
    2,078.52x = 4,159,324.27
  5. Step 5: Solve for x
    x = 4,159,324.27/2,078.52
  6. Step 6: Final answer
    x = 2,001.10

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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.