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Finding the Fourth Proportional to 2,296.06, 3,444.27 and 757.06

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Solution

The fourth proportional to 2,296.06, 3,444.27 and 757.06 is: 1,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.06 : 3,444.27 = 757.06 : x
  2. Step 2: Convert to fraction form
    2,296.06/3,444.27 = 757.06/x
  3. Step 3: Cross multiply
    2,296.06x = 3,444.27 × 757.06
  4. Step 4: Simplify right side
    2,296.06x = 2,607,519.05
  5. Step 5: Solve for x
    x = 2,607,519.05/2,296.06
  6. Step 6: Final answer
    x = 1,135.65

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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.