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Finding the Fourth Proportional to 2,398.65, 3,597.87 and 938.82

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Solution

The fourth proportional to 2,398.65, 3,597.87 and 938.82 is: 1,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.65 : 3,597.87 = 938.82 : x
  2. Step 2: Convert to fraction form
    2,398.65/3,597.87 = 938.82/x
  3. Step 3: Cross multiply
    2,398.65x = 3,597.87 × 938.82
  4. Step 4: Simplify right side
    2,398.65x = 3,377,752.31
  5. Step 5: Solve for x
    x = 3,377,752.31/2,398.65
  6. Step 6: Final answer
    x = 1,408.19

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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.