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Finding the Fourth Proportional to 2,840.52, 3,919.34 and 1,661.28

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Solution

The fourth proportional to 2,840.52, 3,919.34 and 1,661.28 is: 2,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.52 : 3,919.34 = 1,661.28 : x
  2. Step 2: Convert to fraction form
    2,840.52/3,919.34 = 1,661.28/x
  3. Step 3: Cross multiply
    2,840.52x = 3,919.34 × 1,661.28
  4. Step 4: Simplify right side
    2,840.52x = 6,511,121.16
  5. Step 5: Solve for x
    x = 6,511,121.16/2,840.52
  6. Step 6: Final answer
    x = 2,292.23

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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.