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Finding the Fourth Proportional to 3,174.09, 4,380.24 and 1,776.84

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Solution

The fourth proportional to 3,174.09, 4,380.24 and 1,776.84 is: 2,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.09 : 4,380.24 = 1,776.84 : x
  2. Step 2: Convert to fraction form
    3,174.09/4,380.24 = 1,776.84/x
  3. Step 3: Cross multiply
    3,174.09x = 4,380.24 × 1,776.84
  4. Step 4: Simplify right side
    3,174.09x = 7,782,985.64
  5. Step 5: Solve for x
    x = 7,782,985.64/3,174.09
  6. Step 6: Final answer
    x = 2,452.04

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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.