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Finding the Fourth Proportional to 2,351.97, 3,527.01 and 965.52

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Solution

The fourth proportional to 2,351.97, 3,527.01 and 965.52 is: 1,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.97 : 3,527.01 = 965.52 : x
  2. Step 2: Convert to fraction form
    2,351.97/3,527.01 = 965.52/x
  3. Step 3: Cross multiply
    2,351.97x = 3,527.01 × 965.52
  4. Step 4: Simplify right side
    2,351.97x = 3,405,398.70
  5. Step 5: Solve for x
    x = 3,405,398.70/2,351.97
  6. Step 6: Final answer
    x = 1,447.89

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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.