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Finding the Fourth Proportional to 2,702.25, 4,053.60 and 754.47

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Solution

The fourth proportional to 2,702.25, 4,053.60 and 754.47 is: 1,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.25 : 4,053.60 = 754.47 : x
  2. Step 2: Convert to fraction form
    2,702.25/4,053.60 = 754.47/x
  3. Step 3: Cross multiply
    2,702.25x = 4,053.60 × 754.47
  4. Step 4: Simplify right side
    2,702.25x = 3,058,319.59
  5. Step 5: Solve for x
    x = 3,058,319.59/2,702.25
  6. Step 6: Final answer
    x = 1,131.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.