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Finding the Fourth Proportional to 3,150, 4,348.08 and 1,908

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Solution

The fourth proportional to 3,150, 4,348.08 and 1,908 is: 2,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150 : 4,348.08 = 1,908 : x
  2. Step 2: Convert to fraction form
    3,150/4,348.08 = 1,908/x
  3. Step 3: Cross multiply
    3,150x = 4,348.08 × 1,908
  4. Step 4: Simplify right side
    3,150x = 8,296,136.64
  5. Step 5: Solve for x
    x = 8,296,136.64/3,150
  6. Step 6: Final answer
    x = 2,633.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.