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Finding the Fourth Proportional to 2,147.82, 3,223.71 and 1,663.98

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Solution

The fourth proportional to 2,147.82, 3,223.71 and 1,663.98 is: 2,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.82 : 3,223.71 = 1,663.98 : x
  2. Step 2: Convert to fraction form
    2,147.82/3,223.71 = 1,663.98/x
  3. Step 3: Cross multiply
    2,147.82x = 3,223.71 × 1,663.98
  4. Step 4: Simplify right side
    2,147.82x = 5,364,188.97
  5. Step 5: Solve for x
    x = 5,364,188.97/2,147.82
  6. Step 6: Final answer
    x = 2,497.50

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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.