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Finding the Fourth Proportional to 2,744.22, 4,116.87 and 1,012.86

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Solution

The fourth proportional to 2,744.22, 4,116.87 and 1,012.86 is: 1,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.22 : 4,116.87 = 1,012.86 : x
  2. Step 2: Convert to fraction form
    2,744.22/4,116.87 = 1,012.86/x
  3. Step 3: Cross multiply
    2,744.22x = 4,116.87 × 1,012.86
  4. Step 4: Simplify right side
    2,744.22x = 4,169,812.95
  5. Step 5: Solve for x
    x = 4,169,812.95/2,744.22
  6. Step 6: Final answer
    x = 1,519.49

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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.