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Finding the Fourth Proportional to 2,972.84, 4,102.52 and 1,793.88

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Solution

The fourth proportional to 2,972.84, 4,102.52 and 1,793.88 is: 2,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.84 : 4,102.52 = 1,793.88 : x
  2. Step 2: Convert to fraction form
    2,972.84/4,102.52 = 1,793.88/x
  3. Step 3: Cross multiply
    2,972.84x = 4,102.52 × 1,793.88
  4. Step 4: Simplify right side
    2,972.84x = 7,359,419.61
  5. Step 5: Solve for x
    x = 7,359,419.61/2,972.84
  6. Step 6: Final answer
    x = 2,475.56

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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.