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Finding the Fourth Proportional to 2,224.61, 3,067.57 and 1,561.25

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Solution

The fourth proportional to 2,224.61, 3,067.57 and 1,561.25 is: 2,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.61 : 3,067.57 = 1,561.25 : x
  2. Step 2: Convert to fraction form
    2,224.61/3,067.57 = 1,561.25/x
  3. Step 3: Cross multiply
    2,224.61x = 3,067.57 × 1,561.25
  4. Step 4: Simplify right side
    2,224.61x = 4,789,243.66
  5. Step 5: Solve for x
    x = 4,789,243.66/2,224.61
  6. Step 6: Final answer
    x = 2,152.85

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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.