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Finding the Fourth Proportional to 3,205.34, 4,808.99 and 1,561.65

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Solution

The fourth proportional to 3,205.34, 4,808.99 and 1,561.65 is: 2,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.34 : 4,808.99 = 1,561.65 : x
  2. Step 2: Convert to fraction form
    3,205.34/4,808.99 = 1,561.65/x
  3. Step 3: Cross multiply
    3,205.34x = 4,808.99 × 1,561.65
  4. Step 4: Simplify right side
    3,205.34x = 7,509,963.14
  5. Step 5: Solve for x
    x = 7,509,963.14/3,205.34
  6. Step 6: Final answer
    x = 2,342.95

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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.