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Finding the Fourth Proportional to 2,702.77, 4,054.15 and 754.97

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Solution

The fourth proportional to 2,702.77, 4,054.15 and 754.97 is: 1,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.77 : 4,054.15 = 754.97 : x
  2. Step 2: Convert to fraction form
    2,702.77/4,054.15 = 754.97/x
  3. Step 3: Cross multiply
    2,702.77x = 4,054.15 × 754.97
  4. Step 4: Simplify right side
    2,702.77x = 3,060,765.10
  5. Step 5: Solve for x
    x = 3,060,765.10/2,702.77
  6. Step 6: Final answer
    x = 1,132.46

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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.