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Finding the Fourth Proportional to 1,918.27, 2,876.97 and 748.31

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Solution

The fourth proportional to 1,918.27, 2,876.97 and 748.31 is: 1,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.27 : 2,876.97 = 748.31 : x
  2. Step 2: Convert to fraction form
    1,918.27/2,876.97 = 748.31/x
  3. Step 3: Cross multiply
    1,918.27x = 2,876.97 × 748.31
  4. Step 4: Simplify right side
    1,918.27x = 2,152,851.04
  5. Step 5: Solve for x
    x = 2,152,851.04/1,918.27
  6. Step 6: Final answer
    x = 1,122.29

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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.