Home / 2,284.25-3,427.05-724.46

Finding the Fourth Proportional to 2,284.25, 3,427.05 and 724.46

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Solution

The fourth proportional to 2,284.25, 3,427.05 and 724.46 is: 1,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.25 : 3,427.05 = 724.46 : x
  2. Step 2: Convert to fraction form
    2,284.25/3,427.05 = 724.46/x
  3. Step 3: Cross multiply
    2,284.25x = 3,427.05 × 724.46
  4. Step 4: Simplify right side
    2,284.25x = 2,482,760.64
  5. Step 5: Solve for x
    x = 2,482,760.64/2,284.25
  6. Step 6: Final answer
    x = 1,086.90

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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.