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Finding the Fourth Proportional to 3,107.64, 4,288.50 and 1,781.31

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Solution

The fourth proportional to 3,107.64, 4,288.50 and 1,781.31 is: 2,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.64 : 4,288.50 = 1,781.31 : x
  2. Step 2: Convert to fraction form
    3,107.64/4,288.50 = 1,781.31/x
  3. Step 3: Cross multiply
    3,107.64x = 4,288.50 × 1,781.31
  4. Step 4: Simplify right side
    3,107.64x = 7,639,147.94
  5. Step 5: Solve for x
    x = 7,639,147.94/3,107.64
  6. Step 6: Final answer
    x = 2,458.18

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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.