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Finding the Fourth Proportional to 2,397.32, 3,596.39 and 1,098.90

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Solution

The fourth proportional to 2,397.32, 3,596.39 and 1,098.90 is: 1,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.32 : 3,596.39 = 1,098.90 : x
  2. Step 2: Convert to fraction form
    2,397.32/3,596.39 = 1,098.90/x
  3. Step 3: Cross multiply
    2,397.32x = 3,596.39 × 1,098.90
  4. Step 4: Simplify right side
    2,397.32x = 3,952,072.97
  5. Step 5: Solve for x
    x = 3,952,072.97/2,397.32
  6. Step 6: Final answer
    x = 1,648.54

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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.