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Finding the Fourth Proportional to 2,051.10, 3,077.26 and 664.40

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Solution

The fourth proportional to 2,051.10, 3,077.26 and 664.40 is: 996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.10 : 3,077.26 = 664.40 : x
  2. Step 2: Convert to fraction form
    2,051.10/3,077.26 = 664.40/x
  3. Step 3: Cross multiply
    2,051.10x = 3,077.26 × 664.40
  4. Step 4: Simplify right side
    2,051.10x = 2,044,531.54
  5. Step 5: Solve for x
    x = 2,044,531.54/2,051.10
  6. Step 6: Final answer
    x = 996.80

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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.