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Finding the Fourth Proportional to 1,660.88, 2,290.92 and 961.76

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Solution

The fourth proportional to 1,660.88, 2,290.92 and 961.76 is: 1,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.88 : 2,290.92 = 961.76 : x
  2. Step 2: Convert to fraction form
    1,660.88/2,290.92 = 961.76/x
  3. Step 3: Cross multiply
    1,660.88x = 2,290.92 × 961.76
  4. Step 4: Simplify right side
    1,660.88x = 2,203,315.22
  5. Step 5: Solve for x
    x = 2,203,315.22/1,660.88
  6. Step 6: Final answer
    x = 1,326.60

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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.