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Finding the Fourth Proportional to 2,297.28, 3,446.24 and 837.12

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Solution

The fourth proportional to 2,297.28, 3,446.24 and 837.12 is: 1,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.28 : 3,446.24 = 837.12 : x
  2. Step 2: Convert to fraction form
    2,297.28/3,446.24 = 837.12/x
  3. Step 3: Cross multiply
    2,297.28x = 3,446.24 × 837.12
  4. Step 4: Simplify right side
    2,297.28x = 2,884,916.43
  5. Step 5: Solve for x
    x = 2,884,916.43/2,297.28
  6. Step 6: Final answer
    x = 1,255.80

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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.