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Finding the Fourth Proportional to 2,709.36, 4,063.89 and 1,669.56

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Solution

The fourth proportional to 2,709.36, 4,063.89 and 1,669.56 is: 2,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.36 : 4,063.89 = 1,669.56 : x
  2. Step 2: Convert to fraction form
    2,709.36/4,063.89 = 1,669.56/x
  3. Step 3: Cross multiply
    2,709.36x = 4,063.89 × 1,669.56
  4. Step 4: Simplify right side
    2,709.36x = 6,784,908.19
  5. Step 5: Solve for x
    x = 6,784,908.19/2,709.36
  6. Step 6: Final answer
    x = 2,504.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.