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Finding the Fourth Proportional to 2,441.76, 3,369.87 and 1,393.98

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Solution

The fourth proportional to 2,441.76, 3,369.87 and 1,393.98 is: 1,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.76 : 3,369.87 = 1,393.98 : x
  2. Step 2: Convert to fraction form
    2,441.76/3,369.87 = 1,393.98/x
  3. Step 3: Cross multiply
    2,441.76x = 3,369.87 × 1,393.98
  4. Step 4: Simplify right side
    2,441.76x = 4,697,531.38
  5. Step 5: Solve for x
    x = 4,697,531.38/2,441.76
  6. Step 6: Final answer
    x = 1,923.83

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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.