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Finding the Fourth Proportional to 3,106.97, 4,288.23 and 1,781.57

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Solution

The fourth proportional to 3,106.97, 4,288.23 and 1,781.57 is: 2,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.97 : 4,288.23 = 1,781.57 : x
  2. Step 2: Convert to fraction form
    3,106.97/4,288.23 = 1,781.57/x
  3. Step 3: Cross multiply
    3,106.97x = 4,288.23 × 1,781.57
  4. Step 4: Simplify right side
    3,106.97x = 7,639,760.48
  5. Step 5: Solve for x
    x = 7,639,760.48/3,106.97
  6. Step 6: Final answer
    x = 2,458.91

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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.