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Finding the Fourth Proportional to 2,788.78, 4,182 and 1,144.24

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Solution

The fourth proportional to 2,788.78, 4,182 and 1,144.24 is: 1,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.78 : 4,182 = 1,144.24 : x
  2. Step 2: Convert to fraction form
    2,788.78/4,182 = 1,144.24/x
  3. Step 3: Cross multiply
    2,788.78x = 4,182 × 1,144.24
  4. Step 4: Simplify right side
    2,788.78x = 4,785,211.68
  5. Step 5: Solve for x
    x = 4,785,211.68/2,788.78
  6. Step 6: Final answer
    x = 1,715.88

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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.