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Finding the Fourth Proportional to 2,645.94, 3,968.28 and 1,003.26

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Solution

The fourth proportional to 2,645.94, 3,968.28 and 1,003.26 is: 1,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.94 : 3,968.28 = 1,003.26 : x
  2. Step 2: Convert to fraction form
    2,645.94/3,968.28 = 1,003.26/x
  3. Step 3: Cross multiply
    2,645.94x = 3,968.28 × 1,003.26
  4. Step 4: Simplify right side
    2,645.94x = 3,981,216.59
  5. Step 5: Solve for x
    x = 3,981,216.59/2,645.94
  6. Step 6: Final answer
    x = 1,504.65

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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.