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Finding the Fourth Proportional to 3,205.65, 4,809.61 and 1,451.03

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Solution

The fourth proportional to 3,205.65, 4,809.61 and 1,451.03 is: 2,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.65 : 4,809.61 = 1,451.03 : x
  2. Step 2: Convert to fraction form
    3,205.65/4,809.61 = 1,451.03/x
  3. Step 3: Cross multiply
    3,205.65x = 4,809.61 × 1,451.03
  4. Step 4: Simplify right side
    3,205.65x = 6,978,888.40
  5. Step 5: Solve for x
    x = 6,978,888.40/3,205.65
  6. Step 6: Final answer
    x = 2,177.06

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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.