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Finding the Fourth Proportional to 3,199.59, 4,412.34 and 2,255.13

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Solution

The fourth proportional to 3,199.59, 4,412.34 and 2,255.13 is: 3,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.59 : 4,412.34 = 2,255.13 : x
  2. Step 2: Convert to fraction form
    3,199.59/4,412.34 = 2,255.13/x
  3. Step 3: Cross multiply
    3,199.59x = 4,412.34 × 2,255.13
  4. Step 4: Simplify right side
    3,199.59x = 9,950,400.30
  5. Step 5: Solve for x
    x = 9,950,400.30/3,199.59
  6. Step 6: Final answer
    x = 3,109.90

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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.