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Finding the Fourth Proportional to 3,022.79, 4,171.24 and 1,696.70

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Solution

The fourth proportional to 3,022.79, 4,171.24 and 1,696.70 is: 2,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.79 : 4,171.24 = 1,696.70 : x
  2. Step 2: Convert to fraction form
    3,022.79/4,171.24 = 1,696.70/x
  3. Step 3: Cross multiply
    3,022.79x = 4,171.24 × 1,696.70
  4. Step 4: Simplify right side
    3,022.79x = 7,077,317.81
  5. Step 5: Solve for x
    x = 7,077,317.81/3,022.79
  6. Step 6: Final answer
    x = 2,341.32

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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.