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Finding the Fourth Proportional to 2,768.47, 3,823.17 and 2,367.79

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Solution

The fourth proportional to 2,768.47, 3,823.17 and 2,367.79 is: 3,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.47 : 3,823.17 = 2,367.79 : x
  2. Step 2: Convert to fraction form
    2,768.47/3,823.17 = 2,367.79/x
  3. Step 3: Cross multiply
    2,768.47x = 3,823.17 × 2,367.79
  4. Step 4: Simplify right side
    2,768.47x = 9,052,463.69
  5. Step 5: Solve for x
    x = 9,052,463.69/2,768.47
  6. Step 6: Final answer
    x = 3,269.84

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1.5x scale

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.