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Finding the Fourth Proportional to 1,976, 2,726.80 and 1,189.76

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Solution

The fourth proportional to 1,976, 2,726.80 and 1,189.76 is: 1,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976 : 2,726.80 = 1,189.76 : x
  2. Step 2: Convert to fraction form
    1,976/2,726.80 = 1,189.76/x
  3. Step 3: Cross multiply
    1,976x = 2,726.80 × 1,189.76
  4. Step 4: Simplify right side
    1,976x = 3,244,237.57
  5. Step 5: Solve for x
    x = 3,244,237.57/1,976
  6. Step 6: Final answer
    x = 1,641.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.