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Finding the Fourth Proportional to 2,179.91, 3,008.14 and 1,222.77

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Solution

The fourth proportional to 2,179.91, 3,008.14 and 1,222.77 is: 1,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.91 : 3,008.14 = 1,222.77 : x
  2. Step 2: Convert to fraction form
    2,179.91/3,008.14 = 1,222.77/x
  3. Step 3: Cross multiply
    2,179.91x = 3,008.14 × 1,222.77
  4. Step 4: Simplify right side
    2,179.91x = 3,678,261.53
  5. Step 5: Solve for x
    x = 3,678,261.53/2,179.91
  6. Step 6: Final answer
    x = 1,687.34

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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.