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Finding the Fourth Proportional to 3,183.30, 4,774.34 and 874.26

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Solution

The fourth proportional to 3,183.30, 4,774.34 and 874.26 is: 1,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.30 : 4,774.34 = 874.26 : x
  2. Step 2: Convert to fraction form
    3,183.30/4,774.34 = 874.26/x
  3. Step 3: Cross multiply
    3,183.30x = 4,774.34 × 874.26
  4. Step 4: Simplify right side
    3,183.30x = 4,174,014.49
  5. Step 5: Solve for x
    x = 4,174,014.49/3,183.30
  6. Step 6: Final answer
    x = 1,311.22

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