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Finding the Fourth Proportional to 1,701.24, 2,552.49 and 878.97

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Solution

The fourth proportional to 1,701.24, 2,552.49 and 878.97 is: 1,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.24 : 2,552.49 = 878.97 : x
  2. Step 2: Convert to fraction form
    1,701.24/2,552.49 = 878.97/x
  3. Step 3: Cross multiply
    1,701.24x = 2,552.49 × 878.97
  4. Step 4: Simplify right side
    1,701.24x = 2,243,562.14
  5. Step 5: Solve for x
    x = 2,243,562.14/1,701.24
  6. Step 6: Final answer
    x = 1,318.78

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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.