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Finding the Fourth Proportional to 2,754.75, 4,132.13 and 2,616.33

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Solution

The fourth proportional to 2,754.75, 4,132.13 and 2,616.33 is: 3,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.75 : 4,132.13 = 2,616.33 : x
  2. Step 2: Convert to fraction form
    2,754.75/4,132.13 = 2,616.33/x
  3. Step 3: Cross multiply
    2,754.75x = 4,132.13 × 2,616.33
  4. Step 4: Simplify right side
    2,754.75x = 10,811,002.60
  5. Step 5: Solve for x
    x = 10,811,002.60/2,754.75
  6. Step 6: Final answer
    x = 3,924.50

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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.