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Finding the Fourth Proportional to 2,190.76, 3,019.89 and 1,747.96

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Solution

The fourth proportional to 2,190.76, 3,019.89 and 1,747.96 is: 2,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.76 : 3,019.89 = 1,747.96 : x
  2. Step 2: Convert to fraction form
    2,190.76/3,019.89 = 1,747.96/x
  3. Step 3: Cross multiply
    2,190.76x = 3,019.89 × 1,747.96
  4. Step 4: Simplify right side
    2,190.76x = 5,278,646.92
  5. Step 5: Solve for x
    x = 5,278,646.92/2,190.76
  6. Step 6: Final answer
    x = 2,409.50

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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.