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Finding the Fourth Proportional to 2,654.87, 3,984.38 and 1,838.87

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Solution

The fourth proportional to 2,654.87, 3,984.38 and 1,838.87 is: 2,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.87 : 3,984.38 = 1,838.87 : x
  2. Step 2: Convert to fraction form
    2,654.87/3,984.38 = 1,838.87/x
  3. Step 3: Cross multiply
    2,654.87x = 3,984.38 × 1,838.87
  4. Step 4: Simplify right side
    2,654.87x = 7,326,727.73
  5. Step 5: Solve for x
    x = 7,326,727.73/2,654.87
  6. Step 6: Final answer
    x = 2,759.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.