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Finding the Fourth Proportional to 2,522.26, 3,777.92 and 1,221

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Solution

The fourth proportional to 2,522.26, 3,777.92 and 1,221 is: 1,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.26 : 3,777.92 = 1,221 : x
  2. Step 2: Convert to fraction form
    2,522.26/3,777.92 = 1,221/x
  3. Step 3: Cross multiply
    2,522.26x = 3,777.92 × 1,221
  4. Step 4: Simplify right side
    2,522.26x = 4,612,840.32
  5. Step 5: Solve for x
    x = 4,612,840.32/2,522.26
  6. Step 6: Final answer
    x = 1,828.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.