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Finding the Fourth Proportional to 2,296.64, 3,443.90 and 736.35

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Solution

The fourth proportional to 2,296.64, 3,443.90 and 736.35 is: 1,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.64 : 3,443.90 = 736.35 : x
  2. Step 2: Convert to fraction form
    2,296.64/3,443.90 = 736.35/x
  3. Step 3: Cross multiply
    2,296.64x = 3,443.90 × 736.35
  4. Step 4: Simplify right side
    2,296.64x = 2,535,912.08
  5. Step 5: Solve for x
    x = 2,535,912.08/2,296.64
  6. Step 6: Final answer
    x = 1,104.19

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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.