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Finding the Fourth Proportional to 2,050.59, 3,076.34 and 663.97

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Solution

The fourth proportional to 2,050.59, 3,076.34 and 663.97 is: 996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.59 : 3,076.34 = 663.97 : x
  2. Step 2: Convert to fraction form
    2,050.59/3,076.34 = 663.97/x
  3. Step 3: Cross multiply
    2,050.59x = 3,076.34 × 663.97
  4. Step 4: Simplify right side
    2,050.59x = 2,042,597.47
  5. Step 5: Solve for x
    x = 2,042,597.47/2,050.59
  6. Step 6: Final answer
    x = 996.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.