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Finding the Fourth Proportional to 1,244.97, 1,876.72 and 1,073.05

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Solution

The fourth proportional to 1,244.97, 1,876.72 and 1,073.05 is: 1,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.97 : 1,876.72 = 1,073.05 : x
  2. Step 2: Convert to fraction form
    1,244.97/1,876.72 = 1,073.05/x
  3. Step 3: Cross multiply
    1,244.97x = 1,876.72 × 1,073.05
  4. Step 4: Simplify right side
    1,244.97x = 2,013,809.03
  5. Step 5: Solve for x
    x = 2,013,809.03/1,244.97
  6. Step 6: Final answer
    x = 1,617.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.