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Finding the Fourth Proportional to 1,660.65, 2,291.18 and 961.89

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Solution

The fourth proportional to 1,660.65, 2,291.18 and 961.89 is: 1,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.65 : 2,291.18 = 961.89 : x
  2. Step 2: Convert to fraction form
    1,660.65/2,291.18 = 961.89/x
  3. Step 3: Cross multiply
    1,660.65x = 2,291.18 × 961.89
  4. Step 4: Simplify right side
    1,660.65x = 2,203,863.13
  5. Step 5: Solve for x
    x = 2,203,863.13/1,660.65
  6. Step 6: Final answer
    x = 1,327.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.