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Finding the Fourth Proportional to 2,224.72, 3,338.28 and 927.08

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Solution

The fourth proportional to 2,224.72, 3,338.28 and 927.08 is: 1,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.72 : 3,338.28 = 927.08 : x
  2. Step 2: Convert to fraction form
    2,224.72/3,338.28 = 927.08/x
  3. Step 3: Cross multiply
    2,224.72x = 3,338.28 × 927.08
  4. Step 4: Simplify right side
    2,224.72x = 3,094,852.62
  5. Step 5: Solve for x
    x = 3,094,852.62/2,224.72
  6. Step 6: Final answer
    x = 1,391.12

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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.