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Finding the Fourth Proportional to 2,734.44, 4,102.42 and 1,003.24

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Solution

The fourth proportional to 2,734.44, 4,102.42 and 1,003.24 is: 1,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.44 : 4,102.42 = 1,003.24 : x
  2. Step 2: Convert to fraction form
    2,734.44/4,102.42 = 1,003.24/x
  3. Step 3: Cross multiply
    2,734.44x = 4,102.42 × 1,003.24
  4. Step 4: Simplify right side
    2,734.44x = 4,115,711.84
  5. Step 5: Solve for x
    x = 4,115,711.84/2,734.44
  6. Step 6: Final answer
    x = 1,505.14

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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.