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Finding the Fourth Proportional to 2,816.55, 3,884.97 and 1,696.71

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Solution

The fourth proportional to 2,816.55, 3,884.97 and 1,696.71 is: 2,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.55 : 3,884.97 = 1,696.71 : x
  2. Step 2: Convert to fraction form
    2,816.55/3,884.97 = 1,696.71/x
  3. Step 3: Cross multiply
    2,816.55x = 3,884.97 × 1,696.71
  4. Step 4: Simplify right side
    2,816.55x = 6,591,667.45
  5. Step 5: Solve for x
    x = 6,591,667.45/2,816.55
  6. Step 6: Final answer
    x = 2,340.33

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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.