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Finding the Fourth Proportional to 2,351.80, 3,529.14 and 965.80

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Solution

The fourth proportional to 2,351.80, 3,529.14 and 965.80 is: 1,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.80 : 3,529.14 = 965.80 : x
  2. Step 2: Convert to fraction form
    2,351.80/3,529.14 = 965.80/x
  3. Step 3: Cross multiply
    2,351.80x = 3,529.14 × 965.80
  4. Step 4: Simplify right side
    2,351.80x = 3,408,443.41
  5. Step 5: Solve for x
    x = 3,408,443.41/2,351.80
  6. Step 6: Final answer
    x = 1,449.29

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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.