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Finding the Fourth Proportional to 3,188.98, 4,400.89 and 1,930.27

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Solution

The fourth proportional to 3,188.98, 4,400.89 and 1,930.27 is: 2,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.98 : 4,400.89 = 1,930.27 : x
  2. Step 2: Convert to fraction form
    3,188.98/4,400.89 = 1,930.27/x
  3. Step 3: Cross multiply
    3,188.98x = 4,400.89 × 1,930.27
  4. Step 4: Simplify right side
    3,188.98x = 8,494,883.94
  5. Step 5: Solve for x
    x = 8,494,883.94/3,188.98
  6. Step 6: Final answer
    x = 2,663.82

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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.