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Finding the Fourth Proportional to 2,986.76, 4,121.72 and 1,660.39

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Solution

The fourth proportional to 2,986.76, 4,121.72 and 1,660.39 is: 2,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.76 : 4,121.72 = 1,660.39 : x
  2. Step 2: Convert to fraction form
    2,986.76/4,121.72 = 1,660.39/x
  3. Step 3: Cross multiply
    2,986.76x = 4,121.72 × 1,660.39
  4. Step 4: Simplify right side
    2,986.76x = 6,843,650.29
  5. Step 5: Solve for x
    x = 6,843,650.29/2,986.76
  6. Step 6: Final answer
    x = 2,291.33

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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.