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Finding the Fourth Proportional to 2,324.44, 3,207.73 and 1,276.50

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Solution

The fourth proportional to 2,324.44, 3,207.73 and 1,276.50 is: 1,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.44 : 3,207.73 = 1,276.50 : x
  2. Step 2: Convert to fraction form
    2,324.44/3,207.73 = 1,276.50/x
  3. Step 3: Cross multiply
    2,324.44x = 3,207.73 × 1,276.50
  4. Step 4: Simplify right side
    2,324.44x = 4,094,664.15
  5. Step 5: Solve for x
    x = 4,094,664.15/2,324.44
  6. Step 6: Final answer
    x = 1,761.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.