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Finding the Fourth Proportional to 3,174.70, 4,758.37 and 1,877.26

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Solution

The fourth proportional to 3,174.70, 4,758.37 and 1,877.26 is: 2,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.70 : 4,758.37 = 1,877.26 : x
  2. Step 2: Convert to fraction form
    3,174.70/4,758.37 = 1,877.26/x
  3. Step 3: Cross multiply
    3,174.70x = 4,758.37 × 1,877.26
  4. Step 4: Simplify right side
    3,174.70x = 8,932,697.67
  5. Step 5: Solve for x
    x = 8,932,697.67/3,174.70
  6. Step 6: Final answer
    x = 2,813.71

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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.