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Finding the Fourth Proportional to 2,322.28, 3,496.09 and 2,118.16

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Solution

The fourth proportional to 2,322.28, 3,496.09 and 2,118.16 is: 3,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.28 : 3,496.09 = 2,118.16 : x
  2. Step 2: Convert to fraction form
    2,322.28/3,496.09 = 2,118.16/x
  3. Step 3: Cross multiply
    2,322.28x = 3,496.09 × 2,118.16
  4. Step 4: Simplify right side
    2,322.28x = 7,405,249.92
  5. Step 5: Solve for x
    x = 7,405,249.92/2,322.28
  6. Step 6: Final answer
    x = 3,188.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.