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Finding the Fourth Proportional to 2,297.91, 3,448.23 and 837.18

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Solution

The fourth proportional to 2,297.91, 3,448.23 and 837.18 is: 1,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.91 : 3,448.23 = 837.18 : x
  2. Step 2: Convert to fraction form
    2,297.91/3,448.23 = 837.18/x
  3. Step 3: Cross multiply
    2,297.91x = 3,448.23 × 837.18
  4. Step 4: Simplify right side
    2,297.91x = 2,886,789.19
  5. Step 5: Solve for x
    x = 2,886,789.19/2,297.91
  6. Step 6: Final answer
    x = 1,256.27

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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.