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Finding the Fourth Proportional to 1,967.39, 2,948.46 and 733.56

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Solution

The fourth proportional to 1,967.39, 2,948.46 and 733.56 is: 1,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.39 : 2,948.46 = 733.56 : x
  2. Step 2: Convert to fraction form
    1,967.39/2,948.46 = 733.56/x
  3. Step 3: Cross multiply
    1,967.39x = 2,948.46 × 733.56
  4. Step 4: Simplify right side
    1,967.39x = 2,162,872.32
  5. Step 5: Solve for x
    x = 2,162,872.32/1,967.39
  6. Step 6: Final answer
    x = 1,099.36

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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.