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Finding the Fourth Proportional to 3,271.43, 4,905.09 and 1,079.84

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Solution

The fourth proportional to 3,271.43, 4,905.09 and 1,079.84 is: 1,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.43 : 4,905.09 = 1,079.84 : x
  2. Step 2: Convert to fraction form
    3,271.43/4,905.09 = 1,079.84/x
  3. Step 3: Cross multiply
    3,271.43x = 4,905.09 × 1,079.84
  4. Step 4: Simplify right side
    3,271.43x = 5,296,724.65
  5. Step 5: Solve for x
    x = 5,296,724.65/3,271.43
  6. Step 6: Final answer
    x = 1,619.08

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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.