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Finding the Fourth Proportional to 3,174.48, 4,763.64 and 1,443.60

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Solution

The fourth proportional to 3,174.48, 4,763.64 and 1,443.60 is: 2,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.48 : 4,763.64 = 1,443.60 : x
  2. Step 2: Convert to fraction form
    3,174.48/4,763.64 = 1,443.60/x
  3. Step 3: Cross multiply
    3,174.48x = 4,763.64 × 1,443.60
  4. Step 4: Simplify right side
    3,174.48x = 6,876,790.70
  5. Step 5: Solve for x
    x = 6,876,790.70/3,174.48
  6. Step 6: Final answer
    x = 2,166.27

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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.