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Finding the Fourth Proportional to 3,174.78, 4,381.32 and 1,777.50

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Solution

The fourth proportional to 3,174.78, 4,381.32 and 1,777.50 is: 2,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.78 : 4,381.32 = 1,777.50 : x
  2. Step 2: Convert to fraction form
    3,174.78/4,381.32 = 1,777.50/x
  3. Step 3: Cross multiply
    3,174.78x = 4,381.32 × 1,777.50
  4. Step 4: Simplify right side
    3,174.78x = 7,787,796.30
  5. Step 5: Solve for x
    x = 7,787,796.30/3,174.78
  6. Step 6: Final answer
    x = 2,453.02

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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.