Home / 1,546.49-2,319.19-725.15

Finding the Fourth Proportional to 1,546.49, 2,319.19 and 725.15

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Solution

The fourth proportional to 1,546.49, 2,319.19 and 725.15 is: 1,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.49 : 2,319.19 = 725.15 : x
  2. Step 2: Convert to fraction form
    1,546.49/2,319.19 = 725.15/x
  3. Step 3: Cross multiply
    1,546.49x = 2,319.19 × 725.15
  4. Step 4: Simplify right side
    1,546.49x = 1,681,755.74
  5. Step 5: Solve for x
    x = 1,681,755.74/1,546.49
  6. Step 6: Final answer
    x = 1,087.47

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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.