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Finding the Fourth Proportional to 2,522.78, 3,784.36 and 879.29

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Solution

The fourth proportional to 2,522.78, 3,784.36 and 879.29 is: 1,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.78 : 3,784.36 = 879.29 : x
  2. Step 2: Convert to fraction form
    2,522.78/3,784.36 = 879.29/x
  3. Step 3: Cross multiply
    2,522.78x = 3,784.36 × 879.29
  4. Step 4: Simplify right side
    2,522.78x = 3,327,530.98
  5. Step 5: Solve for x
    x = 3,327,530.98/2,522.78
  6. Step 6: Final answer
    x = 1,319.00

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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.