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Finding the Fourth Proportional to 2,651.08, 3,976.82 and 703.24

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Solution

The fourth proportional to 2,651.08, 3,976.82 and 703.24 is: 1,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.08 : 3,976.82 = 703.24 : x
  2. Step 2: Convert to fraction form
    2,651.08/3,976.82 = 703.24/x
  3. Step 3: Cross multiply
    2,651.08x = 3,976.82 × 703.24
  4. Step 4: Simplify right side
    2,651.08x = 2,796,658.90
  5. Step 5: Solve for x
    x = 2,796,658.90/2,651.08
  6. Step 6: Final answer
    x = 1,054.91

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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.