Home / 1,546.18-2,319.84-724.72

Finding the Fourth Proportional to 1,546.18, 2,319.84 and 724.72

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Solution

The fourth proportional to 1,546.18, 2,319.84 and 724.72 is: 1,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.18 : 2,319.84 = 724.72 : x
  2. Step 2: Convert to fraction form
    1,546.18/2,319.84 = 724.72/x
  3. Step 3: Cross multiply
    1,546.18x = 2,319.84 × 724.72
  4. Step 4: Simplify right side
    1,546.18x = 1,681,234.44
  5. Step 5: Solve for x
    x = 1,681,234.44/1,546.18
  6. Step 6: Final answer
    x = 1,087.35

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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.