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Finding the Fourth Proportional to 2,580.24, 3,872.22 and 936.90

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Solution

The fourth proportional to 2,580.24, 3,872.22 and 936.90 is: 1,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.24 : 3,872.22 = 936.90 : x
  2. Step 2: Convert to fraction form
    2,580.24/3,872.22 = 936.90/x
  3. Step 3: Cross multiply
    2,580.24x = 3,872.22 × 936.90
  4. Step 4: Simplify right side
    2,580.24x = 3,627,882.92
  5. Step 5: Solve for x
    x = 3,627,882.92/2,580.24
  6. Step 6: Final answer
    x = 1,406.03

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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.