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Finding the Fourth Proportional to 2,552.05, 3,828.45 and 908.47

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Solution

The fourth proportional to 2,552.05, 3,828.45 and 908.47 is: 1,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.05 : 3,828.45 = 908.47 : x
  2. Step 2: Convert to fraction form
    2,552.05/3,828.45 = 908.47/x
  3. Step 3: Cross multiply
    2,552.05x = 3,828.45 × 908.47
  4. Step 4: Simplify right side
    2,552.05x = 3,478,031.97
  5. Step 5: Solve for x
    x = 3,478,031.97/2,552.05
  6. Step 6: Final answer
    x = 1,362.84

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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.