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Finding the Fourth Proportional to 2,230.92, 3,340.19 and 1,681.46

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Solution

The fourth proportional to 2,230.92, 3,340.19 and 1,681.46 is: 2,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.92 : 3,340.19 = 1,681.46 : x
  2. Step 2: Convert to fraction form
    2,230.92/3,340.19 = 1,681.46/x
  3. Step 3: Cross multiply
    2,230.92x = 3,340.19 × 1,681.46
  4. Step 4: Simplify right side
    2,230.92x = 5,616,395.88
  5. Step 5: Solve for x
    x = 5,616,395.88/2,230.92
  6. Step 6: Final answer
    x = 2,517.52

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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.