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Finding the Fourth Proportional to 1,274.48, 1,911.96 and 908.36

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Solution

The fourth proportional to 1,274.48, 1,911.96 and 908.36 is: 1,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.48 : 1,911.96 = 908.36 : x
  2. Step 2: Convert to fraction form
    1,274.48/1,911.96 = 908.36/x
  3. Step 3: Cross multiply
    1,274.48x = 1,911.96 × 908.36
  4. Step 4: Simplify right side
    1,274.48x = 1,736,747.99
  5. Step 5: Solve for x
    x = 1,736,747.99/1,274.48
  6. Step 6: Final answer
    x = 1,362.71

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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.