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Finding the Fourth Proportional to 2,111.93, 3,166.97 and 650.75

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Solution

The fourth proportional to 2,111.93, 3,166.97 and 650.75 is: 975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.93 : 3,166.97 = 650.75 : x
  2. Step 2: Convert to fraction form
    2,111.93/3,166.97 = 650.75/x
  3. Step 3: Cross multiply
    2,111.93x = 3,166.97 × 650.75
  4. Step 4: Simplify right side
    2,111.93x = 2,060,915.27
  5. Step 5: Solve for x
    x = 2,060,915.27/2,111.93
  6. Step 6: Final answer
    x = 975.85

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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.