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Finding the Fourth Proportional to 2,729.30, 4,094.21 and 755.06

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Solution

The fourth proportional to 2,729.30, 4,094.21 and 755.06 is: 1,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.30 : 4,094.21 = 755.06 : x
  2. Step 2: Convert to fraction form
    2,729.30/4,094.21 = 755.06/x
  3. Step 3: Cross multiply
    2,729.30x = 4,094.21 × 755.06
  4. Step 4: Simplify right side
    2,729.30x = 3,091,374.20
  5. Step 5: Solve for x
    x = 3,091,374.20/2,729.30
  6. Step 6: Final answer
    x = 1,132.66

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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.