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Finding the Fourth Proportional to 2,935.91, 4,403.87 and 744.64

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Solution

The fourth proportional to 2,935.91, 4,403.87 and 744.64 is: 1,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.91 : 4,403.87 = 744.64 : x
  2. Step 2: Convert to fraction form
    2,935.91/4,403.87 = 744.64/x
  3. Step 3: Cross multiply
    2,935.91x = 4,403.87 × 744.64
  4. Step 4: Simplify right side
    2,935.91x = 3,279,297.76
  5. Step 5: Solve for x
    x = 3,279,297.76/2,935.91
  6. Step 6: Final answer
    x = 1,116.96

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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.