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Finding the Fourth Proportional to 2,238.30, 3,089.02 and 1,294.42

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Solution

The fourth proportional to 2,238.30, 3,089.02 and 1,294.42 is: 1,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.30 : 3,089.02 = 1,294.42 : x
  2. Step 2: Convert to fraction form
    2,238.30/3,089.02 = 1,294.42/x
  3. Step 3: Cross multiply
    2,238.30x = 3,089.02 × 1,294.42
  4. Step 4: Simplify right side
    2,238.30x = 3,998,489.27
  5. Step 5: Solve for x
    x = 3,998,489.27/2,238.30
  6. Step 6: Final answer
    x = 1,786.40

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Why These Related Problems?

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