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Finding the Fourth Proportional to 2,052.73, 3,077.27 and 955.59

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Solution

The fourth proportional to 2,052.73, 3,077.27 and 955.59 is: 1,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.73 : 3,077.27 = 955.59 : x
  2. Step 2: Convert to fraction form
    2,052.73/3,077.27 = 955.59/x
  3. Step 3: Cross multiply
    2,052.73x = 3,077.27 × 955.59
  4. Step 4: Simplify right side
    2,052.73x = 2,940,601.08
  5. Step 5: Solve for x
    x = 2,940,601.08/2,052.73
  6. Step 6: Final answer
    x = 1,432.53

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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.