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Finding the Fourth Proportional to 2,238.46, 3,088.74 and 1,243.74

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Solution

The fourth proportional to 2,238.46, 3,088.74 and 1,243.74 is: 1,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.46 : 3,088.74 = 1,243.74 : x
  2. Step 2: Convert to fraction form
    2,238.46/3,088.74 = 1,243.74/x
  3. Step 3: Cross multiply
    2,238.46x = 3,088.74 × 1,243.74
  4. Step 4: Simplify right side
    2,238.46x = 3,841,589.49
  5. Step 5: Solve for x
    x = 3,841,589.49/2,238.46
  6. Step 6: Final answer
    x = 1,716.18

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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.