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Finding the Fourth Proportional to 3,473.70, 4,793.37 and 1,981.22

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Solution

The fourth proportional to 3,473.70, 4,793.37 and 1,981.22 is: 2,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.70 : 4,793.37 = 1,981.22 : x
  2. Step 2: Convert to fraction form
    3,473.70/4,793.37 = 1,981.22/x
  3. Step 3: Cross multiply
    3,473.70x = 4,793.37 × 1,981.22
  4. Step 4: Simplify right side
    3,473.70x = 9,496,710.61
  5. Step 5: Solve for x
    x = 9,496,710.61/3,473.70
  6. Step 6: Final answer
    x = 2,733.89

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1.5x scale

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.