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Finding the Fourth Proportional to 2,522.25, 3,478.64 and 2,238.88

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Solution

The fourth proportional to 2,522.25, 3,478.64 and 2,238.88 is: 3,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.25 : 3,478.64 = 2,238.88 : x
  2. Step 2: Convert to fraction form
    2,522.25/3,478.64 = 2,238.88/x
  3. Step 3: Cross multiply
    2,522.25x = 3,478.64 × 2,238.88
  4. Step 4: Simplify right side
    2,522.25x = 7,788,237.63
  5. Step 5: Solve for x
    x = 7,788,237.63/2,522.25
  6. Step 6: Final answer
    x = 3,087.81

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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.