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Finding the Fourth Proportional to 2,079.66, 2,869.74 and 1,183.38

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Solution

The fourth proportional to 2,079.66, 2,869.74 and 1,183.38 is: 1,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.66 : 2,869.74 = 1,183.38 : x
  2. Step 2: Convert to fraction form
    2,079.66/2,869.74 = 1,183.38/x
  3. Step 3: Cross multiply
    2,079.66x = 2,869.74 × 1,183.38
  4. Step 4: Simplify right side
    2,079.66x = 3,395,992.92
  5. Step 5: Solve for x
    x = 3,395,992.92/2,079.66
  6. Step 6: Final answer
    x = 1,632.96

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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.