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Finding the Fourth Proportional to 3,205.81, 4,424.03 and 1,808.56

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Solution

The fourth proportional to 3,205.81, 4,424.03 and 1,808.56 is: 2,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.81 : 4,424.03 = 1,808.56 : x
  2. Step 2: Convert to fraction form
    3,205.81/4,424.03 = 1,808.56/x
  3. Step 3: Cross multiply
    3,205.81x = 4,424.03 × 1,808.56
  4. Step 4: Simplify right side
    3,205.81x = 8,001,130.24
  5. Step 5: Solve for x
    x = 8,001,130.24/3,205.81
  6. Step 6: Final answer
    x = 2,495.82

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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.