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Finding the Fourth Proportional to 2,238.49, 3,089.10 and 1,294.27

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Solution

The fourth proportional to 2,238.49, 3,089.10 and 1,294.27 is: 1,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.49 : 3,089.10 = 1,294.27 : x
  2. Step 2: Convert to fraction form
    2,238.49/3,089.10 = 1,294.27/x
  3. Step 3: Cross multiply
    2,238.49x = 3,089.10 × 1,294.27
  4. Step 4: Simplify right side
    2,238.49x = 3,998,129.46
  5. Step 5: Solve for x
    x = 3,998,129.46/2,238.49
  6. Step 6: Final answer
    x = 1,786.08

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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.