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Finding the Fourth Proportional to 2,281.73, 3,422.93 and 965.48

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Solution

The fourth proportional to 2,281.73, 3,422.93 and 965.48 is: 1,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.73 : 3,422.93 = 965.48 : x
  2. Step 2: Convert to fraction form
    2,281.73/3,422.93 = 965.48/x
  3. Step 3: Cross multiply
    2,281.73x = 3,422.93 × 965.48
  4. Step 4: Simplify right side
    2,281.73x = 3,304,755.76
  5. Step 5: Solve for x
    x = 3,304,755.76/2,281.73
  6. Step 6: Final answer
    x = 1,448.36

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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.