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Finding the Fourth Proportional to 2,111.70, 3,167.70 and 650.85

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Solution

The fourth proportional to 2,111.70, 3,167.70 and 650.85 is: 976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.70 : 3,167.70 = 650.85 : x
  2. Step 2: Convert to fraction form
    2,111.70/3,167.70 = 650.85/x
  3. Step 3: Cross multiply
    2,111.70x = 3,167.70 × 650.85
  4. Step 4: Simplify right side
    2,111.70x = 2,061,697.55
  5. Step 5: Solve for x
    x = 2,061,697.55/2,111.70
  6. Step 6: Final answer
    x = 976.32

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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.