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Finding the Fourth Proportional to 2,351.82, 3,528.65 and 965.82

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Solution

The fourth proportional to 2,351.82, 3,528.65 and 965.82 is: 1,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.82 : 3,528.65 = 965.82 : x
  2. Step 2: Convert to fraction form
    2,351.82/3,528.65 = 965.82/x
  3. Step 3: Cross multiply
    2,351.82x = 3,528.65 × 965.82
  4. Step 4: Simplify right side
    2,351.82x = 3,408,043.16
  5. Step 5: Solve for x
    x = 3,408,043.16/2,351.82
  6. Step 6: Final answer
    x = 1,449.11

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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.