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Finding the Fourth Proportional to 3,102.08, 4,651.12 and 1,716.08

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Solution

The fourth proportional to 3,102.08, 4,651.12 and 1,716.08 is: 2,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.08 : 4,651.12 = 1,716.08 : x
  2. Step 2: Convert to fraction form
    3,102.08/4,651.12 = 1,716.08/x
  3. Step 3: Cross multiply
    3,102.08x = 4,651.12 × 1,716.08
  4. Step 4: Simplify right side
    3,102.08x = 7,981,694.01
  5. Step 5: Solve for x
    x = 7,981,694.01/3,102.08
  6. Step 6: Final answer
    x = 2,573.01

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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.