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Finding the Fourth Proportional to 2,048.74, 3,072.02 and 731.97

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Solution

The fourth proportional to 2,048.74, 3,072.02 and 731.97 is: 1,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.74 : 3,072.02 = 731.97 : x
  2. Step 2: Convert to fraction form
    2,048.74/3,072.02 = 731.97/x
  3. Step 3: Cross multiply
    2,048.74x = 3,072.02 × 731.97
  4. Step 4: Simplify right side
    2,048.74x = 2,248,622.82
  5. Step 5: Solve for x
    x = 2,248,622.82/2,048.74
  6. Step 6: Final answer
    x = 1,097.57

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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.