Home / 1,546.12-2,318.70-680.20

Finding the Fourth Proportional to 1,546.12, 2,318.70 and 680.20

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Solution

The fourth proportional to 1,546.12, 2,318.70 and 680.20 is: 1,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.12 : 2,318.70 = 680.20 : x
  2. Step 2: Convert to fraction form
    1,546.12/2,318.70 = 680.20/x
  3. Step 3: Cross multiply
    1,546.12x = 2,318.70 × 680.20
  4. Step 4: Simplify right side
    1,546.12x = 1,577,179.74
  5. Step 5: Solve for x
    x = 1,577,179.74/1,546.12
  6. Step 6: Final answer
    x = 1,020.09

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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.