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Finding the Fourth Proportional to 4,115.80, 6,170.97 and 2,267.80

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Solution

The fourth proportional to 4,115.80, 6,170.97 and 2,267.80 is: 3,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.80 : 6,170.97 = 2,267.80 : x
  2. Step 2: Convert to fraction form
    4,115.80/6,170.97 = 2,267.80/x
  3. Step 3: Cross multiply
    4,115.80x = 6,170.97 × 2,267.80
  4. Step 4: Simplify right side
    4,115.80x = 13,994,525.77
  5. Step 5: Solve for x
    x = 13,994,525.77/4,115.80
  6. Step 6: Final answer
    x = 3,400.20

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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.