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Finding the Fourth Proportional to 2,034.94, 3,052.25 and 648.22

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Solution

The fourth proportional to 2,034.94, 3,052.25 and 648.22 is: 972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.94 : 3,052.25 = 648.22 : x
  2. Step 2: Convert to fraction form
    2,034.94/3,052.25 = 648.22/x
  3. Step 3: Cross multiply
    2,034.94x = 3,052.25 × 648.22
  4. Step 4: Simplify right side
    2,034.94x = 1,978,533.88
  5. Step 5: Solve for x
    x = 1,978,533.88/2,034.94
  6. Step 6: Final answer
    x = 972.28

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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.