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Finding the Fourth Proportional to 2,000.87, 3,001.94 and 831.43

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Solution

The fourth proportional to 2,000.87, 3,001.94 and 831.43 is: 1,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.87 : 3,001.94 = 831.43 : x
  2. Step 2: Convert to fraction form
    2,000.87/3,001.94 = 831.43/x
  3. Step 3: Cross multiply
    2,000.87x = 3,001.94 × 831.43
  4. Step 4: Simplify right side
    2,000.87x = 2,495,902.97
  5. Step 5: Solve for x
    x = 2,495,902.97/2,000.87
  6. Step 6: Final answer
    x = 1,247.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.