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Finding the Fourth Proportional to 3,174.05, 4,762.20 and 1,418.89

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Solution

The fourth proportional to 3,174.05, 4,762.20 and 1,418.89 is: 2,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.05 : 4,762.20 = 1,418.89 : x
  2. Step 2: Convert to fraction form
    3,174.05/4,762.20 = 1,418.89/x
  3. Step 3: Cross multiply
    3,174.05x = 4,762.20 × 1,418.89
  4. Step 4: Simplify right side
    3,174.05x = 6,757,037.96
  5. Step 5: Solve for x
    x = 6,757,037.96/3,174.05
  6. Step 6: Final answer
    x = 2,128.84

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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.