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Finding the Fourth Proportional to 2,398.46, 3,596.45 and 1,098.81

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Solution

The fourth proportional to 2,398.46, 3,596.45 and 1,098.81 is: 1,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.46 : 3,596.45 = 1,098.81 : x
  2. Step 2: Convert to fraction form
    2,398.46/3,596.45 = 1,098.81/x
  3. Step 3: Cross multiply
    2,398.46x = 3,596.45 × 1,098.81
  4. Step 4: Simplify right side
    2,398.46x = 3,951,809.73
  5. Step 5: Solve for x
    x = 3,951,809.73/2,398.46
  6. Step 6: Final answer
    x = 1,647.65

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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.