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Finding the Fourth Proportional to 2,398.33, 3,596.26 and 1,098.68

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Solution

The fourth proportional to 2,398.33, 3,596.26 and 1,098.68 is: 1,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.33 : 3,596.26 = 1,098.68 : x
  2. Step 2: Convert to fraction form
    2,398.33/3,596.26 = 1,098.68/x
  3. Step 3: Cross multiply
    2,398.33x = 3,596.26 × 1,098.68
  4. Step 4: Simplify right side
    2,398.33x = 3,951,133.44
  5. Step 5: Solve for x
    x = 3,951,133.44/2,398.33
  6. Step 6: Final answer
    x = 1,647.46

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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.