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Finding the Fourth Proportional to 2,983.92, 4,472.28 and 2,156.46

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Solution

The fourth proportional to 2,983.92, 4,472.28 and 2,156.46 is: 3,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.92 : 4,472.28 = 2,156.46 : x
  2. Step 2: Convert to fraction form
    2,983.92/4,472.28 = 2,156.46/x
  3. Step 3: Cross multiply
    2,983.92x = 4,472.28 × 2,156.46
  4. Step 4: Simplify right side
    2,983.92x = 9,644,292.93
  5. Step 5: Solve for x
    x = 9,644,292.93/2,983.92
  6. Step 6: Final answer
    x = 3,232.09

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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.