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Finding the Fourth Proportional to 1,609.98, 2,418.66 and 961.17

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Solution

The fourth proportional to 1,609.98, 2,418.66 and 961.17 is: 1,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.98 : 2,418.66 = 961.17 : x
  2. Step 2: Convert to fraction form
    1,609.98/2,418.66 = 961.17/x
  3. Step 3: Cross multiply
    1,609.98x = 2,418.66 × 961.17
  4. Step 4: Simplify right side
    1,609.98x = 2,324,743.43
  5. Step 5: Solve for x
    x = 2,324,743.43/1,609.98
  6. Step 6: Final answer
    x = 1,443.96

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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.