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Finding the Fourth Proportional to 1,660.12, 2,290.98 and 961.72

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Solution

The fourth proportional to 1,660.12, 2,290.98 and 961.72 is: 1,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.12 : 2,290.98 = 961.72 : x
  2. Step 2: Convert to fraction form
    1,660.12/2,290.98 = 961.72/x
  3. Step 3: Cross multiply
    1,660.12x = 2,290.98 × 961.72
  4. Step 4: Simplify right side
    1,660.12x = 2,203,281.29
  5. Step 5: Solve for x
    x = 2,203,281.29/1,660.12
  6. Step 6: Final answer
    x = 1,327.18

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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.