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Finding the Fourth Proportional to 2,640.58, 3,643.39 and 1,578.69

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Solution

The fourth proportional to 2,640.58, 3,643.39 and 1,578.69 is: 2,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.58 : 3,643.39 = 1,578.69 : x
  2. Step 2: Convert to fraction form
    2,640.58/3,643.39 = 1,578.69/x
  3. Step 3: Cross multiply
    2,640.58x = 3,643.39 × 1,578.69
  4. Step 4: Simplify right side
    2,640.58x = 5,751,775.47
  5. Step 5: Solve for x
    x = 5,751,775.47/2,640.58
  6. Step 6: Final answer
    x = 2,178.22

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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.