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Finding the Fourth Proportional to 3,182.91, 4,396.26 and 2,342.40

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Solution

The fourth proportional to 3,182.91, 4,396.26 and 2,342.40 is: 3,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.91 : 4,396.26 = 2,342.40 : x
  2. Step 2: Convert to fraction form
    3,182.91/4,396.26 = 2,342.40/x
  3. Step 3: Cross multiply
    3,182.91x = 4,396.26 × 2,342.40
  4. Step 4: Simplify right side
    3,182.91x = 10,297,799.42
  5. Step 5: Solve for x
    x = 10,297,799.42/3,182.91
  6. Step 6: Final answer
    x = 3,235.34

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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.