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Finding the Fourth Proportional to 2,972.70, 4,102.38 and 1,793.52

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Solution

The fourth proportional to 2,972.70, 4,102.38 and 1,793.52 is: 2,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.70 : 4,102.38 = 1,793.52 : x
  2. Step 2: Convert to fraction form
    2,972.70/4,102.38 = 1,793.52/x
  3. Step 3: Cross multiply
    2,972.70x = 4,102.38 × 1,793.52
  4. Step 4: Simplify right side
    2,972.70x = 7,357,700.58
  5. Step 5: Solve for x
    x = 7,357,700.58/2,972.70
  6. Step 6: Final answer
    x = 2,475.09

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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.