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Finding the Fourth Proportional to 1,974.75, 2,963.73 and 1,001.13

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Solution

The fourth proportional to 1,974.75, 2,963.73 and 1,001.13 is: 1,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.75 : 2,963.73 = 1,001.13 : x
  2. Step 2: Convert to fraction form
    1,974.75/2,963.73 = 1,001.13/x
  3. Step 3: Cross multiply
    1,974.75x = 2,963.73 × 1,001.13
  4. Step 4: Simplify right side
    1,974.75x = 2,967,079.01
  5. Step 5: Solve for x
    x = 2,967,079.01/1,974.75
  6. Step 6: Final answer
    x = 1,502.51

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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.