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Finding the Fourth Proportional to 2,051.45, 3,076.87 and 664.91

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Solution

The fourth proportional to 2,051.45, 3,076.87 and 664.91 is: 997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.45 : 3,076.87 = 664.91 : x
  2. Step 2: Convert to fraction form
    2,051.45/3,076.87 = 664.91/x
  3. Step 3: Cross multiply
    2,051.45x = 3,076.87 × 664.91
  4. Step 4: Simplify right side
    2,051.45x = 2,045,826.25
  5. Step 5: Solve for x
    x = 2,045,826.25/2,051.45
  6. Step 6: Final answer
    x = 997.26

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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.