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Finding the Fourth Proportional to 3,205.67, 4,809.28 and 1,561.84

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Solution

The fourth proportional to 3,205.67, 4,809.28 and 1,561.84 is: 2,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.67 : 4,809.28 = 1,561.84 : x
  2. Step 2: Convert to fraction form
    3,205.67/4,809.28 = 1,561.84/x
  3. Step 3: Cross multiply
    3,205.67x = 4,809.28 × 1,561.84
  4. Step 4: Simplify right side
    3,205.67x = 7,511,325.88
  5. Step 5: Solve for x
    x = 7,511,325.88/3,205.67
  6. Step 6: Final answer
    x = 2,343.14

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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.