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Finding the Fourth Proportional to 2,689.60, 4,033.18 and 1,107.22

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Solution

The fourth proportional to 2,689.60, 4,033.18 and 1,107.22 is: 1,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.60 : 4,033.18 = 1,107.22 : x
  2. Step 2: Convert to fraction form
    2,689.60/4,033.18 = 1,107.22/x
  3. Step 3: Cross multiply
    2,689.60x = 4,033.18 × 1,107.22
  4. Step 4: Simplify right side
    2,689.60x = 4,465,617.56
  5. Step 5: Solve for x
    x = 4,465,617.56/2,689.60
  6. Step 6: Final answer
    x = 1,660.33

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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.