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Finding the Fourth Proportional to 1,234.66, 1,843.85 and 1,098.58

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Solution

The fourth proportional to 1,234.66, 1,843.85 and 1,098.58 is: 1,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.66 : 1,843.85 = 1,098.58 : x
  2. Step 2: Convert to fraction form
    1,234.66/1,843.85 = 1,098.58/x
  3. Step 3: Cross multiply
    1,234.66x = 1,843.85 × 1,098.58
  4. Step 4: Simplify right side
    1,234.66x = 2,025,616.73
  5. Step 5: Solve for x
    x = 2,025,616.73/1,234.66
  6. Step 6: Final answer
    x = 1,640.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.