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Finding the Fourth Proportional to 2,702.32, 4,053.36 and 754.48

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Solution

The fourth proportional to 2,702.32, 4,053.36 and 754.48 is: 1,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.32 : 4,053.36 = 754.48 : x
  2. Step 2: Convert to fraction form
    2,702.32/4,053.36 = 754.48/x
  3. Step 3: Cross multiply
    2,702.32x = 4,053.36 × 754.48
  4. Step 4: Simplify right side
    2,702.32x = 3,058,179.05
  5. Step 5: Solve for x
    x = 3,058,179.05/2,702.32
  6. Step 6: Final answer
    x = 1,131.69

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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.