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Finding the Fourth Proportional to 3,271.74, 4,908.08 and 1,079.74

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Solution

The fourth proportional to 3,271.74, 4,908.08 and 1,079.74 is: 1,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.74 : 4,908.08 = 1,079.74 : x
  2. Step 2: Convert to fraction form
    3,271.74/4,908.08 = 1,079.74/x
  3. Step 3: Cross multiply
    3,271.74x = 4,908.08 × 1,079.74
  4. Step 4: Simplify right side
    3,271.74x = 5,299,450.30
  5. Step 5: Solve for x
    x = 5,299,450.30/3,271.74
  6. Step 6: Final answer
    x = 1,619.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.