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Finding the Fourth Proportional to 2,224.06, 3,329.40 and 2,171.00

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Solution

The fourth proportional to 2,224.06, 3,329.40 and 2,171.00 is: 3,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.06 : 3,329.40 = 2,171.00 : x
  2. Step 2: Convert to fraction form
    2,224.06/3,329.40 = 2,171.00/x
  3. Step 3: Cross multiply
    2,224.06x = 3,329.40 × 2,171.00
  4. Step 4: Simplify right side
    2,224.06x = 7,228,143.86
  5. Step 5: Solve for x
    x = 7,228,143.86/2,224.06
  6. Step 6: Final answer
    x = 3,249.98

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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.