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Finding the Fourth Proportional to 2,640.72, 3,643.60 and 1,976.08

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Solution

The fourth proportional to 2,640.72, 3,643.60 and 1,976.08 is: 2,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.72 : 3,643.60 = 1,976.08 : x
  2. Step 2: Convert to fraction form
    2,640.72/3,643.60 = 1,976.08/x
  3. Step 3: Cross multiply
    2,640.72x = 3,643.60 × 1,976.08
  4. Step 4: Simplify right side
    2,640.72x = 7,200,045.09
  5. Step 5: Solve for x
    x = 7,200,045.09/2,640.72
  6. Step 6: Final answer
    x = 2,726.55

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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.