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Finding the Fourth Proportional to 2,282.72, 3,423.27 and 896

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Solution

The fourth proportional to 2,282.72, 3,423.27 and 896 is: 1,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.72 : 3,423.27 = 896 : x
  2. Step 2: Convert to fraction form
    2,282.72/3,423.27 = 896/x
  3. Step 3: Cross multiply
    2,282.72x = 3,423.27 × 896
  4. Step 4: Simplify right side
    2,282.72x = 3,067,249.92
  5. Step 5: Solve for x
    x = 3,067,249.92/2,282.72
  6. Step 6: Final answer
    x = 1,343.68

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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.