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Finding the Fourth Proportional to 2,396.20, 3,306.64 and 1,401.76

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Solution

The fourth proportional to 2,396.20, 3,306.64 and 1,401.76 is: 1,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.20 : 3,306.64 = 1,401.76 : x
  2. Step 2: Convert to fraction form
    2,396.20/3,306.64 = 1,401.76/x
  3. Step 3: Cross multiply
    2,396.20x = 3,306.64 × 1,401.76
  4. Step 4: Simplify right side
    2,396.20x = 4,635,115.69
  5. Step 5: Solve for x
    x = 4,635,115.69/2,396.20
  6. Step 6: Final answer
    x = 1,934.36

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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.