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Finding the Fourth Proportional to 2,034.92, 3,052.01 and 648.34

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Solution

The fourth proportional to 2,034.92, 3,052.01 and 648.34 is: 972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.92 : 3,052.01 = 648.34 : x
  2. Step 2: Convert to fraction form
    2,034.92/3,052.01 = 648.34/x
  3. Step 3: Cross multiply
    2,034.92x = 3,052.01 × 648.34
  4. Step 4: Simplify right side
    2,034.92x = 1,978,734.15
  5. Step 5: Solve for x
    x = 1,978,734.15/2,034.92
  6. Step 6: Final answer
    x = 972.39

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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.