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Finding the Fourth Proportional to 2,342.70, 3,233.14 and 1,294.96

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Solution

The fourth proportional to 2,342.70, 3,233.14 and 1,294.96 is: 1,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.70 : 3,233.14 = 1,294.96 : x
  2. Step 2: Convert to fraction form
    2,342.70/3,233.14 = 1,294.96/x
  3. Step 3: Cross multiply
    2,342.70x = 3,233.14 × 1,294.96
  4. Step 4: Simplify right side
    2,342.70x = 4,186,786.97
  5. Step 5: Solve for x
    x = 4,186,786.97/2,342.70
  6. Step 6: Final answer
    x = 1,787.16

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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.