Home / 1,546.28-2,319.52-680.59

Finding the Fourth Proportional to 1,546.28, 2,319.52 and 680.59

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Solution

The fourth proportional to 1,546.28, 2,319.52 and 680.59 is: 1,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.28 : 2,319.52 = 680.59 : x
  2. Step 2: Convert to fraction form
    1,546.28/2,319.52 = 680.59/x
  3. Step 3: Cross multiply
    1,546.28x = 2,319.52 × 680.59
  4. Step 4: Simplify right side
    1,546.28x = 1,578,642.12
  5. Step 5: Solve for x
    x = 1,578,642.12/1,546.28
  6. Step 6: Final answer
    x = 1,020.93

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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.