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Finding the Fourth Proportional to 2,244.08, 3,363.80 and 762.82

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Solution

The fourth proportional to 2,244.08, 3,363.80 and 762.82 is: 1,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.08 : 3,363.80 = 762.82 : x
  2. Step 2: Convert to fraction form
    2,244.08/3,363.80 = 762.82/x
  3. Step 3: Cross multiply
    2,244.08x = 3,363.80 × 762.82
  4. Step 4: Simplify right side
    2,244.08x = 2,565,961.69
  5. Step 5: Solve for x
    x = 2,565,961.69/2,244.08
  6. Step 6: Final answer
    x = 1,143.43

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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.