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Finding the Fourth Proportional to 2,409.18, 3,327.03 and 2,057.82

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Solution

The fourth proportional to 2,409.18, 3,327.03 and 2,057.82 is: 2,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.18 : 3,327.03 = 2,057.82 : x
  2. Step 2: Convert to fraction form
    2,409.18/3,327.03 = 2,057.82/x
  3. Step 3: Cross multiply
    2,409.18x = 3,327.03 × 2,057.82
  4. Step 4: Simplify right side
    2,409.18x = 6,846,428.87
  5. Step 5: Solve for x
    x = 6,846,428.87/2,409.18
  6. Step 6: Final answer
    x = 2,841.81

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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.