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Finding the Fourth Proportional to 2,001.24, 2,999.78 and 831.87

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Solution

The fourth proportional to 2,001.24, 2,999.78 and 831.87 is: 1,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.24 : 2,999.78 = 831.87 : x
  2. Step 2: Convert to fraction form
    2,001.24/2,999.78 = 831.87/x
  3. Step 3: Cross multiply
    2,001.24x = 2,999.78 × 831.87
  4. Step 4: Simplify right side
    2,001.24x = 2,495,434.08
  5. Step 5: Solve for x
    x = 2,495,434.08/2,001.24
  6. Step 6: Final answer
    x = 1,246.95

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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.