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Finding the Fourth Proportional to 2,721.57, 4,083 and 773.73

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Solution

The fourth proportional to 2,721.57, 4,083 and 773.73 is: 1,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.57 : 4,083 = 773.73 : x
  2. Step 2: Convert to fraction form
    2,721.57/4,083 = 773.73/x
  3. Step 3: Cross multiply
    2,721.57x = 4,083 × 773.73
  4. Step 4: Simplify right side
    2,721.57x = 3,159,139.59
  5. Step 5: Solve for x
    x = 3,159,139.59/2,721.57
  6. Step 6: Final answer
    x = 1,160.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.