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Finding the Fourth Proportional to 3,174.16, 4,380.80 and 1,777

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Solution

The fourth proportional to 3,174.16, 4,380.80 and 1,777 is: 2,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.16 : 4,380.80 = 1,777 : x
  2. Step 2: Convert to fraction form
    3,174.16/4,380.80 = 1,777/x
  3. Step 3: Cross multiply
    3,174.16x = 4,380.80 × 1,777
  4. Step 4: Simplify right side
    3,174.16x = 7,784,681.60
  5. Step 5: Solve for x
    x = 7,784,681.60/3,174.16
  6. Step 6: Final answer
    x = 2,452.52

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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.