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Finding the Fourth Proportional to 2,297.30, 3,169.94 and 1,302.41

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Solution

The fourth proportional to 2,297.30, 3,169.94 and 1,302.41 is: 1,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.30 : 3,169.94 = 1,302.41 : x
  2. Step 2: Convert to fraction form
    2,297.30/3,169.94 = 1,302.41/x
  3. Step 3: Cross multiply
    2,297.30x = 3,169.94 × 1,302.41
  4. Step 4: Simplify right side
    2,297.30x = 4,128,562.97
  5. Step 5: Solve for x
    x = 4,128,562.97/2,297.30
  6. Step 6: Final answer
    x = 1,797.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.