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Finding the Fourth Proportional to 1,967.92, 2,950.56 and 733.84

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Solution

The fourth proportional to 1,967.92, 2,950.56 and 733.84 is: 1,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.92 : 2,950.56 = 733.84 : x
  2. Step 2: Convert to fraction form
    1,967.92/2,950.56 = 733.84/x
  3. Step 3: Cross multiply
    1,967.92x = 2,950.56 × 733.84
  4. Step 4: Simplify right side
    1,967.92x = 2,165,238.95
  5. Step 5: Solve for x
    x = 2,165,238.95/1,967.92
  6. Step 6: Final answer
    x = 1,100.27

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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.