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Finding the Fourth Proportional to 2,522.91, 3,784.27 and 879.45

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Solution

The fourth proportional to 2,522.91, 3,784.27 and 879.45 is: 1,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.91 : 3,784.27 = 879.45 : x
  2. Step 2: Convert to fraction form
    2,522.91/3,784.27 = 879.45/x
  3. Step 3: Cross multiply
    2,522.91x = 3,784.27 × 879.45
  4. Step 4: Simplify right side
    2,522.91x = 3,328,076.25
  5. Step 5: Solve for x
    x = 3,328,076.25/2,522.91
  6. Step 6: Final answer
    x = 1,319.14

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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.