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Finding the Fourth Proportional to 2,342.16, 3,231.90 and 1,294.20

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Solution

The fourth proportional to 2,342.16, 3,231.90 and 1,294.20 is: 1,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.16 : 3,231.90 = 1,294.20 : x
  2. Step 2: Convert to fraction form
    2,342.16/3,231.90 = 1,294.20/x
  3. Step 3: Cross multiply
    2,342.16x = 3,231.90 × 1,294.20
  4. Step 4: Simplify right side
    2,342.16x = 4,182,724.98
  5. Step 5: Solve for x
    x = 4,182,724.98/2,342.16
  6. Step 6: Final answer
    x = 1,785.84

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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.