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Finding the Fourth Proportional to 2,282.32, 3,423.46 and 743.32

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Solution

The fourth proportional to 2,282.32, 3,423.46 and 743.32 is: 1,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.32 : 3,423.46 = 743.32 : x
  2. Step 2: Convert to fraction form
    2,282.32/3,423.46 = 743.32/x
  3. Step 3: Cross multiply
    2,282.32x = 3,423.46 × 743.32
  4. Step 4: Simplify right side
    2,282.32x = 2,544,726.29
  5. Step 5: Solve for x
    x = 2,544,726.29/2,282.32
  6. Step 6: Final answer
    x = 1,114.97

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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.