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Finding the Fourth Proportional to 2,388.84, 3,286.94 and 2,331.24

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Solution

The fourth proportional to 2,388.84, 3,286.94 and 2,331.24 is: 3,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.84 : 3,286.94 = 2,331.24 : x
  2. Step 2: Convert to fraction form
    2,388.84/3,286.94 = 2,331.24/x
  3. Step 3: Cross multiply
    2,388.84x = 3,286.94 × 2,331.24
  4. Step 4: Simplify right side
    2,388.84x = 7,662,646.01
  5. Step 5: Solve for x
    x = 7,662,646.01/2,388.84
  6. Step 6: Final answer
    x = 3,207.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.