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Finding the Fourth Proportional to 2,816.43, 3,885.12 and 1,696.71

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Solution

The fourth proportional to 2,816.43, 3,885.12 and 1,696.71 is: 2,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.43 : 3,885.12 = 1,696.71 : x
  2. Step 2: Convert to fraction form
    2,816.43/3,885.12 = 1,696.71/x
  3. Step 3: Cross multiply
    2,816.43x = 3,885.12 × 1,696.71
  4. Step 4: Simplify right side
    2,816.43x = 6,591,921.96
  5. Step 5: Solve for x
    x = 6,591,921.96/2,816.43
  6. Step 6: Final answer
    x = 2,340.52

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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.