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Finding the Fourth Proportional to 2,224.17, 3,337.89 and 837.84

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Solution

The fourth proportional to 2,224.17, 3,337.89 and 837.84 is: 1,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.17 : 3,337.89 = 837.84 : x
  2. Step 2: Convert to fraction form
    2,224.17/3,337.89 = 837.84/x
  3. Step 3: Cross multiply
    2,224.17x = 3,337.89 × 837.84
  4. Step 4: Simplify right side
    2,224.17x = 2,796,617.76
  5. Step 5: Solve for x
    x = 2,796,617.76/2,224.17
  6. Step 6: Final answer
    x = 1,257.38

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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.