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Finding the Fourth Proportional to 3,205.42, 4,808.90 and 1,561.59

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Solution

The fourth proportional to 3,205.42, 4,808.90 and 1,561.59 is: 2,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.42 : 4,808.90 = 1,561.59 : x
  2. Step 2: Convert to fraction form
    3,205.42/4,808.90 = 1,561.59/x
  3. Step 3: Cross multiply
    3,205.42x = 4,808.90 × 1,561.59
  4. Step 4: Simplify right side
    3,205.42x = 7,509,530.15
  5. Step 5: Solve for x
    x = 7,509,530.15/3,205.42
  6. Step 6: Final answer
    x = 2,342.76

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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.