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Finding the Fourth Proportional to 2,043.54, 3,062.60 and 743.76

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Solution

The fourth proportional to 2,043.54, 3,062.60 and 743.76 is: 1,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.54 : 3,062.60 = 743.76 : x
  2. Step 2: Convert to fraction form
    2,043.54/3,062.60 = 743.76/x
  3. Step 3: Cross multiply
    2,043.54x = 3,062.60 × 743.76
  4. Step 4: Simplify right side
    2,043.54x = 2,277,839.38
  5. Step 5: Solve for x
    x = 2,277,839.38/2,043.54
  6. Step 6: Final answer
    x = 1,114.65

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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.