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Finding the Fourth Proportional to 2,680.67, 4,021.39 and 831.93

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Solution

The fourth proportional to 2,680.67, 4,021.39 and 831.93 is: 1,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.67 : 4,021.39 = 831.93 : x
  2. Step 2: Convert to fraction form
    2,680.67/4,021.39 = 831.93/x
  3. Step 3: Cross multiply
    2,680.67x = 4,021.39 × 831.93
  4. Step 4: Simplify right side
    2,680.67x = 3,345,490.72
  5. Step 5: Solve for x
    x = 3,345,490.72/2,680.67
  6. Step 6: Final answer
    x = 1,248.01

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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.