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Finding the Fourth Proportional to 1,843.22, 2,543.57 and 1,057.25

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Solution

The fourth proportional to 1,843.22, 2,543.57 and 1,057.25 is: 1,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.22 : 2,543.57 = 1,057.25 : x
  2. Step 2: Convert to fraction form
    1,843.22/2,543.57 = 1,057.25/x
  3. Step 3: Cross multiply
    1,843.22x = 2,543.57 × 1,057.25
  4. Step 4: Simplify right side
    1,843.22x = 2,689,194.42
  5. Step 5: Solve for x
    x = 2,689,194.42/1,843.22
  6. Step 6: Final answer
    x = 1,458.96

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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.