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Finding the Fourth Proportional to 2,224.66, 3,336.40 and 837.90

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Solution

The fourth proportional to 2,224.66, 3,336.40 and 837.90 is: 1,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.66 : 3,336.40 = 837.90 : x
  2. Step 2: Convert to fraction form
    2,224.66/3,336.40 = 837.90/x
  3. Step 3: Cross multiply
    2,224.66x = 3,336.40 × 837.90
  4. Step 4: Simplify right side
    2,224.66x = 2,795,569.56
  5. Step 5: Solve for x
    x = 2,795,569.56/2,224.66
  6. Step 6: Final answer
    x = 1,256.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.