Home / 2,282.02-3,423.38-965.78

Finding the Fourth Proportional to 2,282.02, 3,423.38 and 965.78

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Solution

The fourth proportional to 2,282.02, 3,423.38 and 965.78 is: 1,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.02 : 3,423.38 = 965.78 : x
  2. Step 2: Convert to fraction form
    2,282.02/3,423.38 = 965.78/x
  3. Step 3: Cross multiply
    2,282.02x = 3,423.38 × 965.78
  4. Step 4: Simplify right side
    2,282.02x = 3,306,228.26
  5. Step 5: Solve for x
    x = 3,306,228.26/2,282.02
  6. Step 6: Final answer
    x = 1,448.82

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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.