Home / 2,282.85-3,424.32-965.70

Finding the Fourth Proportional to 2,282.85, 3,424.32 and 965.70

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Solution

The fourth proportional to 2,282.85, 3,424.32 and 965.70 is: 1,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.85 : 3,424.32 = 965.70 : x
  2. Step 2: Convert to fraction form
    2,282.85/3,424.32 = 965.70/x
  3. Step 3: Cross multiply
    2,282.85x = 3,424.32 × 965.70
  4. Step 4: Simplify right side
    2,282.85x = 3,306,865.82
  5. Step 5: Solve for x
    x = 3,306,865.82/2,282.85
  6. Step 6: Final answer
    x = 1,448.57

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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.