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Finding the Fourth Proportional to 3,309.82, 4,966.82 and 1,849.93

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Solution

The fourth proportional to 3,309.82, 4,966.82 and 1,849.93 is: 2,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.82 : 4,966.82 = 1,849.93 : x
  2. Step 2: Convert to fraction form
    3,309.82/4,966.82 = 1,849.93/x
  3. Step 3: Cross multiply
    3,309.82x = 4,966.82 × 1,849.93
  4. Step 4: Simplify right side
    3,309.82x = 9,188,273.95
  5. Step 5: Solve for x
    x = 9,188,273.95/3,309.82
  6. Step 6: Final answer
    x = 2,776.06

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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.