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Finding the Fourth Proportional to 2,924, 4,035.24 and 1,682

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Solution

The fourth proportional to 2,924, 4,035.24 and 1,682 is: 2,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924 : 4,035.24 = 1,682 : x
  2. Step 2: Convert to fraction form
    2,924/4,035.24 = 1,682/x
  3. Step 3: Cross multiply
    2,924x = 4,035.24 × 1,682
  4. Step 4: Simplify right side
    2,924x = 6,787,273.68
  5. Step 5: Solve for x
    x = 6,787,273.68/2,924
  6. Step 6: Final answer
    x = 2,321.23

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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.