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Finding the Fourth Proportional to 2,238.33, 3,089.12 and 1,294.16

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Solution

The fourth proportional to 2,238.33, 3,089.12 and 1,294.16 is: 1,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.33 : 3,089.12 = 1,294.16 : x
  2. Step 2: Convert to fraction form
    2,238.33/3,089.12 = 1,294.16/x
  3. Step 3: Cross multiply
    2,238.33x = 3,089.12 × 1,294.16
  4. Step 4: Simplify right side
    2,238.33x = 3,997,816.79
  5. Step 5: Solve for x
    x = 3,997,816.79/2,238.33
  6. Step 6: Final answer
    x = 1,786.07

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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.