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Finding the Fourth Proportional to 1,967.85, 2,951.82 and 1,236.42

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Solution

The fourth proportional to 1,967.85, 2,951.82 and 1,236.42 is: 1,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.85 : 2,951.82 = 1,236.42 : x
  2. Step 2: Convert to fraction form
    1,967.85/2,951.82 = 1,236.42/x
  3. Step 3: Cross multiply
    1,967.85x = 2,951.82 × 1,236.42
  4. Step 4: Simplify right side
    1,967.85x = 3,649,689.28
  5. Step 5: Solve for x
    x = 3,649,689.28/1,967.85
  6. Step 6: Final answer
    x = 1,854.66

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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.