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Finding the Fourth Proportional to 2,296.09, 3,443.52 and 997.25

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Solution

The fourth proportional to 2,296.09, 3,443.52 and 997.25 is: 1,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.09 : 3,443.52 = 997.25 : x
  2. Step 2: Convert to fraction form
    2,296.09/3,443.52 = 997.25/x
  3. Step 3: Cross multiply
    2,296.09x = 3,443.52 × 997.25
  4. Step 4: Simplify right side
    2,296.09x = 3,434,050.32
  5. Step 5: Solve for x
    x = 3,434,050.32/2,296.09
  6. Step 6: Final answer
    x = 1,495.61

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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.