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Finding the Fourth Proportional to 2,051.22, 3,076.68 and 664.61

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Solution

The fourth proportional to 2,051.22, 3,076.68 and 664.61 is: 996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.22 : 3,076.68 = 664.61 : x
  2. Step 2: Convert to fraction form
    2,051.22/3,076.68 = 664.61/x
  3. Step 3: Cross multiply
    2,051.22x = 3,076.68 × 664.61
  4. Step 4: Simplify right side
    2,051.22x = 2,044,779.40
  5. Step 5: Solve for x
    x = 2,044,779.40/2,051.22
  6. Step 6: Final answer
    x = 996.86

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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.