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Finding the Fourth Proportional to 2,169.86, 2,993.01 and 1,671.62

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Solution

The fourth proportional to 2,169.86, 2,993.01 and 1,671.62 is: 2,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.86 : 2,993.01 = 1,671.62 : x
  2. Step 2: Convert to fraction form
    2,169.86/2,993.01 = 1,671.62/x
  3. Step 3: Cross multiply
    2,169.86x = 2,993.01 × 1,671.62
  4. Step 4: Simplify right side
    2,169.86x = 5,003,175.38
  5. Step 5: Solve for x
    x = 5,003,175.38/2,169.86
  6. Step 6: Final answer
    x = 2,305.76

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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.