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Finding the Fourth Proportional to 3,187.88, 4,399.12 and 1,771.66

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Solution

The fourth proportional to 3,187.88, 4,399.12 and 1,771.66 is: 2,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.88 : 4,399.12 = 1,771.66 : x
  2. Step 2: Convert to fraction form
    3,187.88/4,399.12 = 1,771.66/x
  3. Step 3: Cross multiply
    3,187.88x = 4,399.12 × 1,771.66
  4. Step 4: Simplify right side
    3,187.88x = 7,793,744.94
  5. Step 5: Solve for x
    x = 7,793,744.94/3,187.88
  6. Step 6: Final answer
    x = 2,444.80

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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.