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Finding the Fourth Proportional to 2,764.86, 4,150.50 and 1,122.60

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Solution

The fourth proportional to 2,764.86, 4,150.50 and 1,122.60 is: 1,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.86 : 4,150.50 = 1,122.60 : x
  2. Step 2: Convert to fraction form
    2,764.86/4,150.50 = 1,122.60/x
  3. Step 3: Cross multiply
    2,764.86x = 4,150.50 × 1,122.60
  4. Step 4: Simplify right side
    2,764.86x = 4,659,351.30
  5. Step 5: Solve for x
    x = 4,659,351.30/2,764.86
  6. Step 6: Final answer
    x = 1,685.20

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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.