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Finding the Fourth Proportional to 2,522.89, 3,778.86 and 1,221.63

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Solution

The fourth proportional to 2,522.89, 3,778.86 and 1,221.63 is: 1,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.89 : 3,778.86 = 1,221.63 : x
  2. Step 2: Convert to fraction form
    2,522.89/3,778.86 = 1,221.63/x
  3. Step 3: Cross multiply
    2,522.89x = 3,778.86 × 1,221.63
  4. Step 4: Simplify right side
    2,522.89x = 4,616,346.79
  5. Step 5: Solve for x
    x = 4,616,346.79/2,522.89
  6. Step 6: Final answer
    x = 1,829.79

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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.