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Finding the Fourth Proportional to 2,168.38, 2,993.76 and 1,670.14

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Solution

The fourth proportional to 2,168.38, 2,993.76 and 1,670.14 is: 2,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.38 : 2,993.76 = 1,670.14 : x
  2. Step 2: Convert to fraction form
    2,168.38/2,993.76 = 1,670.14/x
  3. Step 3: Cross multiply
    2,168.38x = 2,993.76 × 1,670.14
  4. Step 4: Simplify right side
    2,168.38x = 4,999,998.33
  5. Step 5: Solve for x
    x = 4,999,998.33/2,168.38
  6. Step 6: Final answer
    x = 2,305.87

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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.