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Finding the Fourth Proportional to 2,702.11, 4,053.32 and 754.31

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Solution

The fourth proportional to 2,702.11, 4,053.32 and 754.31 is: 1,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.11 : 4,053.32 = 754.31 : x
  2. Step 2: Convert to fraction form
    2,702.11/4,053.32 = 754.31/x
  3. Step 3: Cross multiply
    2,702.11x = 4,053.32 × 754.31
  4. Step 4: Simplify right side
    2,702.11x = 3,057,451.56
  5. Step 5: Solve for x
    x = 3,057,451.56/2,702.11
  6. Step 6: Final answer
    x = 1,131.51

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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.