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Finding the Fourth Proportional to 2,522.28, 3,783.78 and 879.78

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Solution

The fourth proportional to 2,522.28, 3,783.78 and 879.78 is: 1,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.28 : 3,783.78 = 879.78 : x
  2. Step 2: Convert to fraction form
    2,522.28/3,783.78 = 879.78/x
  3. Step 3: Cross multiply
    2,522.28x = 3,783.78 × 879.78
  4. Step 4: Simplify right side
    2,522.28x = 3,328,893.97
  5. Step 5: Solve for x
    x = 3,328,893.97/2,522.28
  6. Step 6: Final answer
    x = 1,319.80

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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.