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Finding the Fourth Proportional to 2,077.75, 3,118.04 and 1,152.73

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Solution

The fourth proportional to 2,077.75, 3,118.04 and 1,152.73 is: 1,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.75 : 3,118.04 = 1,152.73 : x
  2. Step 2: Convert to fraction form
    2,077.75/3,118.04 = 1,152.73/x
  3. Step 3: Cross multiply
    2,077.75x = 3,118.04 × 1,152.73
  4. Step 4: Simplify right side
    2,077.75x = 3,594,236.90
  5. Step 5: Solve for x
    x = 3,594,236.90/2,077.75
  6. Step 6: Final answer
    x = 1,729.87

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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.