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Finding the Fourth Proportional to 2,396.54, 3,593.91 and 836.14

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Solution

The fourth proportional to 2,396.54, 3,593.91 and 836.14 is: 1,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.54 : 3,593.91 = 836.14 : x
  2. Step 2: Convert to fraction form
    2,396.54/3,593.91 = 836.14/x
  3. Step 3: Cross multiply
    2,396.54x = 3,593.91 × 836.14
  4. Step 4: Simplify right side
    2,396.54x = 3,005,011.91
  5. Step 5: Solve for x
    x = 3,005,011.91/2,396.54
  6. Step 6: Final answer
    x = 1,253.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.