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Finding the Fourth Proportional to 2,722.86, 4,085.10 and 1,162.80

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Solution

The fourth proportional to 2,722.86, 4,085.10 and 1,162.80 is: 1,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.86 : 4,085.10 = 1,162.80 : x
  2. Step 2: Convert to fraction form
    2,722.86/4,085.10 = 1,162.80/x
  3. Step 3: Cross multiply
    2,722.86x = 4,085.10 × 1,162.80
  4. Step 4: Simplify right side
    2,722.86x = 4,750,154.28
  5. Step 5: Solve for x
    x = 4,750,154.28/2,722.86
  6. Step 6: Final answer
    x = 1,744.55

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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.