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Finding the Fourth Proportional to 2,027.76, 2,797.02 and 1,329.18

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Solution

The fourth proportional to 2,027.76, 2,797.02 and 1,329.18 is: 1,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.76 : 2,797.02 = 1,329.18 : x
  2. Step 2: Convert to fraction form
    2,027.76/2,797.02 = 1,329.18/x
  3. Step 3: Cross multiply
    2,027.76x = 2,797.02 × 1,329.18
  4. Step 4: Simplify right side
    2,027.76x = 3,717,743.04
  5. Step 5: Solve for x
    x = 3,717,743.04/2,027.76
  6. Step 6: Final answer
    x = 1,833.42

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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.