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Finding the Fourth Proportional to 2,398.53, 3,596.84 and 1,165.57

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Solution

The fourth proportional to 2,398.53, 3,596.84 and 1,165.57 is: 1,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.53 : 3,596.84 = 1,165.57 : x
  2. Step 2: Convert to fraction form
    2,398.53/3,596.84 = 1,165.57/x
  3. Step 3: Cross multiply
    2,398.53x = 3,596.84 × 1,165.57
  4. Step 4: Simplify right side
    2,398.53x = 4,192,362.97
  5. Step 5: Solve for x
    x = 4,192,362.97/2,398.53
  6. Step 6: Final answer
    x = 1,747.89

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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.