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Finding the Fourth Proportional to 2,111.49, 3,167.69 and 650.75

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Solution

The fourth proportional to 2,111.49, 3,167.69 and 650.75 is: 976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.49 : 3,167.69 = 650.75 : x
  2. Step 2: Convert to fraction form
    2,111.49/3,167.69 = 650.75/x
  3. Step 3: Cross multiply
    2,111.49x = 3,167.69 × 650.75
  4. Step 4: Simplify right side
    2,111.49x = 2,061,374.27
  5. Step 5: Solve for x
    x = 2,061,374.27/2,111.49
  6. Step 6: Final answer
    x = 976.27

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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.