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Finding the Fourth Proportional to 2,747.01, 4,122.81 and 2,574.02

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Solution

The fourth proportional to 2,747.01, 4,122.81 and 2,574.02 is: 3,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.01 : 4,122.81 = 2,574.02 : x
  2. Step 2: Convert to fraction form
    2,747.01/4,122.81 = 2,574.02/x
  3. Step 3: Cross multiply
    2,747.01x = 4,122.81 × 2,574.02
  4. Step 4: Simplify right side
    2,747.01x = 10,612,174.78
  5. Step 5: Solve for x
    x = 10,612,174.78/2,747.01
  6. Step 6: Final answer
    x = 3,863.17

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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.