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Finding the Fourth Proportional to 2,748.78, 4,122.72 and 993.42

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Solution

The fourth proportional to 2,748.78, 4,122.72 and 993.42 is: 1,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.78 : 4,122.72 = 993.42 : x
  2. Step 2: Convert to fraction form
    2,748.78/4,122.72 = 993.42/x
  3. Step 3: Cross multiply
    2,748.78x = 4,122.72 × 993.42
  4. Step 4: Simplify right side
    2,748.78x = 4,095,592.50
  5. Step 5: Solve for x
    x = 4,095,592.50/2,748.78
  6. Step 6: Final answer
    x = 1,489.97

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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.