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Finding the Fourth Proportional to 2,748, 4,121.52 and 1,016.16

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Solution

The fourth proportional to 2,748, 4,121.52 and 1,016.16 is: 1,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748 : 4,121.52 = 1,016.16 : x
  2. Step 2: Convert to fraction form
    2,748/4,121.52 = 1,016.16/x
  3. Step 3: Cross multiply
    2,748x = 4,121.52 × 1,016.16
  4. Step 4: Simplify right side
    2,748x = 4,188,123.76
  5. Step 5: Solve for x
    x = 4,188,123.76/2,748
  6. Step 6: Final answer
    x = 1,524.06

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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.