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Finding the Fourth Proportional to 2,991.59, 4,121.70 and 2,193.54

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Solution

The fourth proportional to 2,991.59, 4,121.70 and 2,193.54 is: 3,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.59 : 4,121.70 = 2,193.54 : x
  2. Step 2: Convert to fraction form
    2,991.59/4,121.70 = 2,193.54/x
  3. Step 3: Cross multiply
    2,991.59x = 4,121.70 × 2,193.54
  4. Step 4: Simplify right side
    2,991.59x = 9,041,113.82
  5. Step 5: Solve for x
    x = 9,041,113.82/2,991.59
  6. Step 6: Final answer
    x = 3,022.18

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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.