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Finding the Fourth Proportional to 2,998.61, 4,498.52 and 1,149.78

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Solution

The fourth proportional to 2,998.61, 4,498.52 and 1,149.78 is: 1,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.61 : 4,498.52 = 1,149.78 : x
  2. Step 2: Convert to fraction form
    2,998.61/4,498.52 = 1,149.78/x
  3. Step 3: Cross multiply
    2,998.61x = 4,498.52 × 1,149.78
  4. Step 4: Simplify right side
    2,998.61x = 5,172,302.58
  5. Step 5: Solve for x
    x = 5,172,302.58/2,998.61
  6. Step 6: Final answer
    x = 1,724.90

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