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Finding the Fourth Proportional to 2,281.98, 3,423.43 and 965.73

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Solution

The fourth proportional to 2,281.98, 3,423.43 and 965.73 is: 1,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.98 : 3,423.43 = 965.73 : x
  2. Step 2: Convert to fraction form
    2,281.98/3,423.43 = 965.73/x
  3. Step 3: Cross multiply
    2,281.98x = 3,423.43 × 965.73
  4. Step 4: Simplify right side
    2,281.98x = 3,306,087.11
  5. Step 5: Solve for x
    x = 3,306,087.11/2,281.98
  6. Step 6: Final answer
    x = 1,448.78

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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.