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Finding the Fourth Proportional to 2,286.84, 3,406.17 and 2,238.84

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Solution

The fourth proportional to 2,286.84, 3,406.17 and 2,238.84 is: 3,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.84 : 3,406.17 = 2,238.84 : x
  2. Step 2: Convert to fraction form
    2,286.84/3,406.17 = 2,238.84/x
  3. Step 3: Cross multiply
    2,286.84x = 3,406.17 × 2,238.84
  4. Step 4: Simplify right side
    2,286.84x = 7,625,869.64
  5. Step 5: Solve for x
    x = 7,625,869.64/2,286.84
  6. Step 6: Final answer
    x = 3,334.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.