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Finding the Fourth Proportional to 2,224.56, 3,336.48 and 837.78

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Solution

The fourth proportional to 2,224.56, 3,336.48 and 837.78 is: 1,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.56 : 3,336.48 = 837.78 : x
  2. Step 2: Convert to fraction form
    2,224.56/3,336.48 = 837.78/x
  3. Step 3: Cross multiply
    2,224.56x = 3,336.48 × 837.78
  4. Step 4: Simplify right side
    2,224.56x = 2,795,236.21
  5. Step 5: Solve for x
    x = 2,795,236.21/2,224.56
  6. Step 6: Final answer
    x = 1,256.53

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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.