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Finding the Fourth Proportional to 2,111.74, 3,168.05 and 650.82

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Solution

The fourth proportional to 2,111.74, 3,168.05 and 650.82 is: 976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.74 : 3,168.05 = 650.82 : x
  2. Step 2: Convert to fraction form
    2,111.74/3,168.05 = 650.82/x
  3. Step 3: Cross multiply
    2,111.74x = 3,168.05 × 650.82
  4. Step 4: Simplify right side
    2,111.74x = 2,061,830.30
  5. Step 5: Solve for x
    x = 2,061,830.30/2,111.74
  6. Step 6: Final answer
    x = 976.37

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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.