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Finding the Fourth Proportional to 2,522.28, 3,783.82 and 879.06

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Solution

The fourth proportional to 2,522.28, 3,783.82 and 879.06 is: 1,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.28 : 3,783.82 = 879.06 : x
  2. Step 2: Convert to fraction form
    2,522.28/3,783.82 = 879.06/x
  3. Step 3: Cross multiply
    2,522.28x = 3,783.82 × 879.06
  4. Step 4: Simplify right side
    2,522.28x = 3,326,204.81
  5. Step 5: Solve for x
    x = 3,326,204.81/2,522.28
  6. Step 6: Final answer
    x = 1,318.73

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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.