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Finding the Fourth Proportional to 2,843.51, 4,270.25 and 1,613.32

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Solution

The fourth proportional to 2,843.51, 4,270.25 and 1,613.32 is: 2,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.51 : 4,270.25 = 1,613.32 : x
  2. Step 2: Convert to fraction form
    2,843.51/4,270.25 = 1,613.32/x
  3. Step 3: Cross multiply
    2,843.51x = 4,270.25 × 1,613.32
  4. Step 4: Simplify right side
    2,843.51x = 6,889,273.09
  5. Step 5: Solve for x
    x = 6,889,273.09/2,843.51
  6. Step 6: Final answer
    x = 2,422.81

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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.