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Finding the Fourth Proportional to 2,749.53, 4,124.51 and 801.73

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Solution

The fourth proportional to 2,749.53, 4,124.51 and 801.73 is: 1,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.53 : 4,124.51 = 801.73 : x
  2. Step 2: Convert to fraction form
    2,749.53/4,124.51 = 801.73/x
  3. Step 3: Cross multiply
    2,749.53x = 4,124.51 × 801.73
  4. Step 4: Simplify right side
    2,749.53x = 3,306,743.40
  5. Step 5: Solve for x
    x = 3,306,743.40/2,749.53
  6. Step 6: Final answer
    x = 1,202.66

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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.