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Finding the Fourth Proportional to 2,552.12, 3,827.62 and 908.72

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Solution

The fourth proportional to 2,552.12, 3,827.62 and 908.72 is: 1,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.12 : 3,827.62 = 908.72 : x
  2. Step 2: Convert to fraction form
    2,552.12/3,827.62 = 908.72/x
  3. Step 3: Cross multiply
    2,552.12x = 3,827.62 × 908.72
  4. Step 4: Simplify right side
    2,552.12x = 3,478,234.85
  5. Step 5: Solve for x
    x = 3,478,234.85/2,552.12
  6. Step 6: Final answer
    x = 1,362.88

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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.