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Finding the Fourth Proportional to 2,670.92, 4,006.07 and 723.27

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Solution

The fourth proportional to 2,670.92, 4,006.07 and 723.27 is: 1,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.92 : 4,006.07 = 723.27 : x
  2. Step 2: Convert to fraction form
    2,670.92/4,006.07 = 723.27/x
  3. Step 3: Cross multiply
    2,670.92x = 4,006.07 × 723.27
  4. Step 4: Simplify right side
    2,670.92x = 2,897,470.25
  5. Step 5: Solve for x
    x = 2,897,470.25/2,670.92
  6. Step 6: Final answer
    x = 1,084.82

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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.