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Finding the Fourth Proportional to 3,233.68, 4,464.17 and 2,177.00

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Solution

The fourth proportional to 3,233.68, 4,464.17 and 2,177.00 is: 3,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.68 : 4,464.17 = 2,177.00 : x
  2. Step 2: Convert to fraction form
    3,233.68/4,464.17 = 2,177.00/x
  3. Step 3: Cross multiply
    3,233.68x = 4,464.17 × 2,177.00
  4. Step 4: Simplify right side
    3,233.68x = 9,718,464.88
  5. Step 5: Solve for x
    x = 9,718,464.88/3,233.68
  6. Step 6: Final answer
    x = 3,005.39

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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.