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Finding the Fourth Proportional to 2,440.97, 3,660.31 and 880.77

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Solution

The fourth proportional to 2,440.97, 3,660.31 and 880.77 is: 1,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.97 : 3,660.31 = 880.77 : x
  2. Step 2: Convert to fraction form
    2,440.97/3,660.31 = 880.77/x
  3. Step 3: Cross multiply
    2,440.97x = 3,660.31 × 880.77
  4. Step 4: Simplify right side
    2,440.97x = 3,223,906.07
  5. Step 5: Solve for x
    x = 3,223,906.07/2,440.97
  6. Step 6: Final answer
    x = 1,320.75

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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.