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Finding the Fourth Proportional to 2,388.48, 3,288.96 and 2,214.24

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Solution

The fourth proportional to 2,388.48, 3,288.96 and 2,214.24 is: 3,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.48 : 3,288.96 = 2,214.24 : x
  2. Step 2: Convert to fraction form
    2,388.48/3,288.96 = 2,214.24/x
  3. Step 3: Cross multiply
    2,388.48x = 3,288.96 × 2,214.24
  4. Step 4: Simplify right side
    2,388.48x = 7,282,546.79
  5. Step 5: Solve for x
    x = 7,282,546.79/2,388.48
  6. Step 6: Final answer
    x = 3,049.03

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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.