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Finding the Fourth Proportional to 2,065.96, 3,079.25 and 1,949.21

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Solution

The fourth proportional to 2,065.96, 3,079.25 and 1,949.21 is: 2,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.96 : 3,079.25 = 1,949.21 : x
  2. Step 2: Convert to fraction form
    2,065.96/3,079.25 = 1,949.21/x
  3. Step 3: Cross multiply
    2,065.96x = 3,079.25 × 1,949.21
  4. Step 4: Simplify right side
    2,065.96x = 6,002,104.89
  5. Step 5: Solve for x
    x = 6,002,104.89/2,065.96
  6. Step 6: Final answer
    x = 2,905.24

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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.