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Finding the Fourth Proportional to 1,605.65, 2,398.57 and 1,163.39

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Solution

The fourth proportional to 1,605.65, 2,398.57 and 1,163.39 is: 1,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.65 : 2,398.57 = 1,163.39 : x
  2. Step 2: Convert to fraction form
    1,605.65/2,398.57 = 1,163.39/x
  3. Step 3: Cross multiply
    1,605.65x = 2,398.57 × 1,163.39
  4. Step 4: Simplify right side
    1,605.65x = 2,790,472.35
  5. Step 5: Solve for x
    x = 2,790,472.35/1,605.65
  6. Step 6: Final answer
    x = 1,737.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.