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Finding the Fourth Proportional to 3,238, 4,468.44 and 1,766

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Solution

The fourth proportional to 3,238, 4,468.44 and 1,766 is: 2,437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238 : 4,468.44 = 1,766 : x
  2. Step 2: Convert to fraction form
    3,238/4,468.44 = 1,766/x
  3. Step 3: Cross multiply
    3,238x = 4,468.44 × 1,766
  4. Step 4: Simplify right side
    3,238x = 7,891,265.04
  5. Step 5: Solve for x
    x = 7,891,265.04/3,238
  6. Step 6: Final answer
    x = 2,437.08

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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.