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Finding the Fourth Proportional to 2,282.25, 3,423.65 and 743.25

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Solution

The fourth proportional to 2,282.25, 3,423.65 and 743.25 is: 1,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.25 : 3,423.65 = 743.25 : x
  2. Step 2: Convert to fraction form
    2,282.25/3,423.65 = 743.25/x
  3. Step 3: Cross multiply
    2,282.25x = 3,423.65 × 743.25
  4. Step 4: Simplify right side
    2,282.25x = 2,544,624.15
  5. Step 5: Solve for x
    x = 2,544,624.15/2,282.25
  6. Step 6: Final answer
    x = 1,114.96

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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.