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Finding the Fourth Proportional to 2,050.47, 3,076.14 and 663.94

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Solution

The fourth proportional to 2,050.47, 3,076.14 and 663.94 is: 996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.47 : 3,076.14 = 663.94 : x
  2. Step 2: Convert to fraction form
    2,050.47/3,076.14 = 663.94/x
  3. Step 3: Cross multiply
    2,050.47x = 3,076.14 × 663.94
  4. Step 4: Simplify right side
    2,050.47x = 2,042,378.73
  5. Step 5: Solve for x
    x = 2,042,378.73/2,050.47
  6. Step 6: Final answer
    x = 996.06

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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.