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Finding the Fourth Proportional to 3,374.70, 5,064.30 and 1,183.41

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Solution

The fourth proportional to 3,374.70, 5,064.30 and 1,183.41 is: 1,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.70 : 5,064.30 = 1,183.41 : x
  2. Step 2: Convert to fraction form
    3,374.70/5,064.30 = 1,183.41/x
  3. Step 3: Cross multiply
    3,374.70x = 5,064.30 × 1,183.41
  4. Step 4: Simplify right side
    3,374.70x = 5,993,143.26
  5. Step 5: Solve for x
    x = 5,993,143.26/3,374.70
  6. Step 6: Final answer
    x = 1,775.90

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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.