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Finding the Fourth Proportional to 3,227.84, 4,843.20 and 1,497.92

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Solution

The fourth proportional to 3,227.84, 4,843.20 and 1,497.92 is: 2,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.84 : 4,843.20 = 1,497.92 : x
  2. Step 2: Convert to fraction form
    3,227.84/4,843.20 = 1,497.92/x
  3. Step 3: Cross multiply
    3,227.84x = 4,843.20 × 1,497.92
  4. Step 4: Simplify right side
    3,227.84x = 7,254,726.14
  5. Step 5: Solve for x
    x = 7,254,726.14/3,227.84
  6. Step 6: Final answer
    x = 2,247.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.