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Finding the Fourth Proportional to 2,296.42, 3,425.18 and 2,227.18

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Solution

The fourth proportional to 2,296.42, 3,425.18 and 2,227.18 is: 3,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.42 : 3,425.18 = 2,227.18 : x
  2. Step 2: Convert to fraction form
    2,296.42/3,425.18 = 2,227.18/x
  3. Step 3: Cross multiply
    2,296.42x = 3,425.18 × 2,227.18
  4. Step 4: Simplify right side
    2,296.42x = 7,628,492.39
  5. Step 5: Solve for x
    x = 7,628,492.39/2,296.42
  6. Step 6: Final answer
    x = 3,321.91

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