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Finding the Fourth Proportional to 1,519.60, 2,098.29 and 960.97

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Solution

The fourth proportional to 1,519.60, 2,098.29 and 960.97 is: 1,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.60 : 2,098.29 = 960.97 : x
  2. Step 2: Convert to fraction form
    1,519.60/2,098.29 = 960.97/x
  3. Step 3: Cross multiply
    1,519.60x = 2,098.29 × 960.97
  4. Step 4: Simplify right side
    1,519.60x = 2,016,393.74
  5. Step 5: Solve for x
    x = 2,016,393.74/1,519.60
  6. Step 6: Final answer
    x = 1,326.92

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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.