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Finding the Fourth Proportional to 2,342.82, 3,233.07 and 1,294.89

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Solution

The fourth proportional to 2,342.82, 3,233.07 and 1,294.89 is: 1,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.82 : 3,233.07 = 1,294.89 : x
  2. Step 2: Convert to fraction form
    2,342.82/3,233.07 = 1,294.89/x
  3. Step 3: Cross multiply
    2,342.82x = 3,233.07 × 1,294.89
  4. Step 4: Simplify right side
    2,342.82x = 4,186,470.01
  5. Step 5: Solve for x
    x = 4,186,470.01/2,342.82
  6. Step 6: Final answer
    x = 1,786.94

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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.