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Finding the Fourth Proportional to 2,792.43, 4,188.92 and 818.10

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Solution

The fourth proportional to 2,792.43, 4,188.92 and 818.10 is: 1,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.43 : 4,188.92 = 818.10 : x
  2. Step 2: Convert to fraction form
    2,792.43/4,188.92 = 818.10/x
  3. Step 3: Cross multiply
    2,792.43x = 4,188.92 × 818.10
  4. Step 4: Simplify right side
    2,792.43x = 3,426,951.36
  5. Step 5: Solve for x
    x = 3,426,951.36/2,792.43
  6. Step 6: Final answer
    x = 1,227.23

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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.