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Finding the Fourth Proportional to 2,842.44, 4,263.96 and 762.52

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Solution

The fourth proportional to 2,842.44, 4,263.96 and 762.52 is: 1,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.44 : 4,263.96 = 762.52 : x
  2. Step 2: Convert to fraction form
    2,842.44/4,263.96 = 762.52/x
  3. Step 3: Cross multiply
    2,842.44x = 4,263.96 × 762.52
  4. Step 4: Simplify right side
    2,842.44x = 3,251,354.78
  5. Step 5: Solve for x
    x = 3,251,354.78/2,842.44
  6. Step 6: Final answer
    x = 1,143.86

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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.