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Finding the Fourth Proportional to 2,680.05, 4,019.45 and 731.79

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Solution

The fourth proportional to 2,680.05, 4,019.45 and 731.79 is: 1,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.05 : 4,019.45 = 731.79 : x
  2. Step 2: Convert to fraction form
    2,680.05/4,019.45 = 731.79/x
  3. Step 3: Cross multiply
    2,680.05x = 4,019.45 × 731.79
  4. Step 4: Simplify right side
    2,680.05x = 2,941,389.66
  5. Step 5: Solve for x
    x = 2,941,389.66/2,680.05
  6. Step 6: Final answer
    x = 1,097.51

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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.