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Finding the Fourth Proportional to 2,973.22, 4,101.97 and 1,793.86

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Solution

The fourth proportional to 2,973.22, 4,101.97 and 1,793.86 is: 2,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.22 : 4,101.97 = 1,793.86 : x
  2. Step 2: Convert to fraction form
    2,973.22/4,101.97 = 1,793.86/x
  3. Step 3: Cross multiply
    2,973.22x = 4,101.97 × 1,793.86
  4. Step 4: Simplify right side
    2,973.22x = 7,358,359.90
  5. Step 5: Solve for x
    x = 7,358,359.90/2,973.22
  6. Step 6: Final answer
    x = 2,474.88

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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.