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Finding the Fourth Proportional to 2,051.02, 3,076.27 and 664.22

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Solution

The fourth proportional to 2,051.02, 3,076.27 and 664.22 is: 996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.02 : 3,076.27 = 664.22 : x
  2. Step 2: Convert to fraction form
    2,051.02/3,076.27 = 664.22/x
  3. Step 3: Cross multiply
    2,051.02x = 3,076.27 × 664.22
  4. Step 4: Simplify right side
    2,051.02x = 2,043,320.06
  5. Step 5: Solve for x
    x = 2,043,320.06/2,051.02
  6. Step 6: Final answer
    x = 996.24

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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.