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Finding the Fourth Proportional to 1,957.92, 2,701.96 and 1,073.76

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Solution

The fourth proportional to 1,957.92, 2,701.96 and 1,073.76 is: 1,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.92 : 2,701.96 = 1,073.76 : x
  2. Step 2: Convert to fraction form
    1,957.92/2,701.96 = 1,073.76/x
  3. Step 3: Cross multiply
    1,957.92x = 2,701.96 × 1,073.76
  4. Step 4: Simplify right side
    1,957.92x = 2,901,243.75
  5. Step 5: Solve for x
    x = 2,901,243.75/1,957.92
  6. Step 6: Final answer
    x = 1,481.80

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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.