Home / 3,023-4,171.73-1,696.83

Finding the Fourth Proportional to 3,023, 4,171.73 and 1,696.83

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Solution

The fourth proportional to 3,023, 4,171.73 and 1,696.83 is: 2,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023 : 4,171.73 = 1,696.83 : x
  2. Step 2: Convert to fraction form
    3,023/4,171.73 = 1,696.83/x
  3. Step 3: Cross multiply
    3,023x = 4,171.73 × 1,696.83
  4. Step 4: Simplify right side
    3,023x = 7,078,716.62
  5. Step 5: Solve for x
    x = 7,078,716.62/3,023
  6. Step 6: Final answer
    x = 2,341.62

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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.