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Finding the Fourth Proportional to 2,522.00, 3,783.64 and 878.57

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Solution

The fourth proportional to 2,522.00, 3,783.64 and 878.57 is: 1,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.00 : 3,783.64 = 878.57 : x
  2. Step 2: Convert to fraction form
    2,522.00/3,783.64 = 878.57/x
  3. Step 3: Cross multiply
    2,522.00x = 3,783.64 × 878.57
  4. Step 4: Simplify right side
    2,522.00x = 3,324,171.48
  5. Step 5: Solve for x
    x = 3,324,171.48/2,522.00
  6. Step 6: Final answer
    x = 1,318.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.