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Finding the Fourth Proportional to 2,132.73, 2,942.73 and 1,542.24

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Solution

The fourth proportional to 2,132.73, 2,942.73 and 1,542.24 is: 2,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.73 : 2,942.73 = 1,542.24 : x
  2. Step 2: Convert to fraction form
    2,132.73/2,942.73 = 1,542.24/x
  3. Step 3: Cross multiply
    2,132.73x = 2,942.73 × 1,542.24
  4. Step 4: Simplify right side
    2,132.73x = 4,538,395.92
  5. Step 5: Solve for x
    x = 4,538,395.92/2,132.73
  6. Step 6: Final answer
    x = 2,127.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.