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Finding the Fourth Proportional to 2,052.31, 3,077.77 and 665.27

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Solution

The fourth proportional to 2,052.31, 3,077.77 and 665.27 is: 997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.31 : 3,077.77 = 665.27 : x
  2. Step 2: Convert to fraction form
    2,052.31/3,077.77 = 665.27/x
  3. Step 3: Cross multiply
    2,052.31x = 3,077.77 × 665.27
  4. Step 4: Simplify right side
    2,052.31x = 2,047,548.05
  5. Step 5: Solve for x
    x = 2,047,548.05/2,052.31
  6. Step 6: Final answer
    x = 997.68

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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.