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Finding the Fourth Proportional to 2,081.97, 3,123.20 and 695.49

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Solution

The fourth proportional to 2,081.97, 3,123.20 and 695.49 is: 1,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.97 : 3,123.20 = 695.49 : x
  2. Step 2: Convert to fraction form
    2,081.97/3,123.20 = 695.49/x
  3. Step 3: Cross multiply
    2,081.97x = 3,123.20 × 695.49
  4. Step 4: Simplify right side
    2,081.97x = 2,172,154.37
  5. Step 5: Solve for x
    x = 2,172,154.37/2,081.97
  6. Step 6: Final answer
    x = 1,043.32

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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.