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Finding the Fourth Proportional to 2,052.88, 3,079.28 and 754.31

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Solution

The fourth proportional to 2,052.88, 3,079.28 and 754.31 is: 1,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.88 : 3,079.28 = 754.31 : x
  2. Step 2: Convert to fraction form
    2,052.88/3,079.28 = 754.31/x
  3. Step 3: Cross multiply
    2,052.88x = 3,079.28 × 754.31
  4. Step 4: Simplify right side
    2,052.88x = 2,322,741.28
  5. Step 5: Solve for x
    x = 2,322,741.28/2,052.88
  6. Step 6: Final answer
    x = 1,131.46

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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.