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Finding the Fourth Proportional to 3,081, 4,251.82 and 1,683.74

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Solution

The fourth proportional to 3,081, 4,251.82 and 1,683.74 is: 2,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081 : 4,251.82 = 1,683.74 : x
  2. Step 2: Convert to fraction form
    3,081/4,251.82 = 1,683.74/x
  3. Step 3: Cross multiply
    3,081x = 4,251.82 × 1,683.74
  4. Step 4: Simplify right side
    3,081x = 7,158,959.41
  5. Step 5: Solve for x
    x = 7,158,959.41/3,081
  6. Step 6: Final answer
    x = 2,323.58

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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.