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Finding the Fourth Proportional to 2,034.89, 3,052.02 and 648.05

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Solution

The fourth proportional to 2,034.89, 3,052.02 and 648.05 is: 971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.89 : 3,052.02 = 648.05 : x
  2. Step 2: Convert to fraction form
    2,034.89/3,052.02 = 648.05/x
  3. Step 3: Cross multiply
    2,034.89x = 3,052.02 × 648.05
  4. Step 4: Simplify right side
    2,034.89x = 1,977,846.30
  5. Step 5: Solve for x
    x = 1,977,846.30/2,034.89
  6. Step 6: Final answer
    x = 971.97

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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.