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Finding the Fourth Proportional to 2,324.69, 3,208.07 and 1,276.75

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Solution

The fourth proportional to 2,324.69, 3,208.07 and 1,276.75 is: 1,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.69 : 3,208.07 = 1,276.75 : x
  2. Step 2: Convert to fraction form
    2,324.69/3,208.07 = 1,276.75/x
  3. Step 3: Cross multiply
    2,324.69x = 3,208.07 × 1,276.75
  4. Step 4: Simplify right side
    2,324.69x = 4,095,903.37
  5. Step 5: Solve for x
    x = 4,095,903.37/2,324.69
  6. Step 6: Final answer
    x = 1,761.91

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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.