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Finding the Fourth Proportional to 2,933.63, 4,400.60 and 742.38

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Solution

The fourth proportional to 2,933.63, 4,400.60 and 742.38 is: 1,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.63 : 4,400.60 = 742.38 : x
  2. Step 2: Convert to fraction form
    2,933.63/4,400.60 = 742.38/x
  3. Step 3: Cross multiply
    2,933.63x = 4,400.60 × 742.38
  4. Step 4: Simplify right side
    2,933.63x = 3,266,919.28
  5. Step 5: Solve for x
    x = 3,266,919.28/2,933.63
  6. Step 6: Final answer
    x = 1,113.61

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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.