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Finding the Fourth Proportional to 2,224.72, 3,336.97 and 837.95

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Solution

The fourth proportional to 2,224.72, 3,336.97 and 837.95 is: 1,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.72 : 3,336.97 = 837.95 : x
  2. Step 2: Convert to fraction form
    2,224.72/3,336.97 = 837.95/x
  3. Step 3: Cross multiply
    2,224.72x = 3,336.97 × 837.95
  4. Step 4: Simplify right side
    2,224.72x = 2,796,193.14
  5. Step 5: Solve for x
    x = 2,796,193.14/2,224.72
  6. Step 6: Final answer
    x = 1,256.88

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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.