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Finding the Fourth Proportional to 2,744.78, 4,117.17 and 1,013

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Solution

The fourth proportional to 2,744.78, 4,117.17 and 1,013 is: 1,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.78 : 4,117.17 = 1,013 : x
  2. Step 2: Convert to fraction form
    2,744.78/4,117.17 = 1,013/x
  3. Step 3: Cross multiply
    2,744.78x = 4,117.17 × 1,013
  4. Step 4: Simplify right side
    2,744.78x = 4,170,693.21
  5. Step 5: Solve for x
    x = 4,170,693.21/2,744.78
  6. Step 6: Final answer
    x = 1,519.50

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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.