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Finding the Fourth Proportional to 1,843.98, 2,543.82 and 1,057.57

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Solution

The fourth proportional to 1,843.98, 2,543.82 and 1,057.57 is: 1,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.98 : 2,543.82 = 1,057.57 : x
  2. Step 2: Convert to fraction form
    1,843.98/2,543.82 = 1,057.57/x
  3. Step 3: Cross multiply
    1,843.98x = 2,543.82 × 1,057.57
  4. Step 4: Simplify right side
    1,843.98x = 2,690,267.72
  5. Step 5: Solve for x
    x = 2,690,267.72/1,843.98
  6. Step 6: Final answer
    x = 1,458.95

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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.