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Finding the Fourth Proportional to 1,976, 2,726.72 and 1,091.84

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Solution

The fourth proportional to 1,976, 2,726.72 and 1,091.84 is: 1,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976 : 2,726.72 = 1,091.84 : x
  2. Step 2: Convert to fraction form
    1,976/2,726.72 = 1,091.84/x
  3. Step 3: Cross multiply
    1,976x = 2,726.72 × 1,091.84
  4. Step 4: Simplify right side
    1,976x = 2,977,141.96
  5. Step 5: Solve for x
    x = 2,977,141.96/1,976
  6. Step 6: Final answer
    x = 1,506.65

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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.