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Finding the Fourth Proportional to 2,661.14, 3,988.97 and 1,017.24

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Solution

The fourth proportional to 2,661.14, 3,988.97 and 1,017.24 is: 1,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.14 : 3,988.97 = 1,017.24 : x
  2. Step 2: Convert to fraction form
    2,661.14/3,988.97 = 1,017.24/x
  3. Step 3: Cross multiply
    2,661.14x = 3,988.97 × 1,017.24
  4. Step 4: Simplify right side
    2,661.14x = 4,057,734.76
  5. Step 5: Solve for x
    x = 4,057,734.76/2,661.14
  6. Step 6: Final answer
    x = 1,524.81

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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.