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Finding the Fourth Proportional to 2,681.20, 4,022.10 and 831.88

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Solution

The fourth proportional to 2,681.20, 4,022.10 and 831.88 is: 1,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.20 : 4,022.10 = 831.88 : x
  2. Step 2: Convert to fraction form
    2,681.20/4,022.10 = 831.88/x
  3. Step 3: Cross multiply
    2,681.20x = 4,022.10 × 831.88
  4. Step 4: Simplify right side
    2,681.20x = 3,345,904.55
  5. Step 5: Solve for x
    x = 3,345,904.55/2,681.20
  6. Step 6: Final answer
    x = 1,247.91

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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.