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Finding the Fourth Proportional to 2,182.68, 3,257.15 and 1,949.06

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Solution

The fourth proportional to 2,182.68, 3,257.15 and 1,949.06 is: 2,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.68 : 3,257.15 = 1,949.06 : x
  2. Step 2: Convert to fraction form
    2,182.68/3,257.15 = 1,949.06/x
  3. Step 3: Cross multiply
    2,182.68x = 3,257.15 × 1,949.06
  4. Step 4: Simplify right side
    2,182.68x = 6,348,354.75
  5. Step 5: Solve for x
    x = 6,348,354.75/2,182.68
  6. Step 6: Final answer
    x = 2,908.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.