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Finding the Fourth Proportional to 3,022.59, 4,170.56 and 1,696.17

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Solution

The fourth proportional to 3,022.59, 4,170.56 and 1,696.17 is: 2,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.59 : 4,170.56 = 1,696.17 : x
  2. Step 2: Convert to fraction form
    3,022.59/4,170.56 = 1,696.17/x
  3. Step 3: Cross multiply
    3,022.59x = 4,170.56 × 1,696.17
  4. Step 4: Simplify right side
    3,022.59x = 7,073,970.27
  5. Step 5: Solve for x
    x = 7,073,970.27/3,022.59
  6. Step 6: Final answer
    x = 2,340.37

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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.