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Finding the Fourth Proportional to 2,326.86, 3,213.86 and 1,696.38

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Solution

The fourth proportional to 2,326.86, 3,213.86 and 1,696.38 is: 2,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.86 : 3,213.86 = 1,696.38 : x
  2. Step 2: Convert to fraction form
    2,326.86/3,213.86 = 1,696.38/x
  3. Step 3: Cross multiply
    2,326.86x = 3,213.86 × 1,696.38
  4. Step 4: Simplify right side
    2,326.86x = 5,451,919.34
  5. Step 5: Solve for x
    x = 5,451,919.34/2,326.86
  6. Step 6: Final answer
    x = 2,343.04

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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.