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Finding the Fourth Proportional to 2,543.73, 3,816.41 and 2,348.25

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Solution

The fourth proportional to 2,543.73, 3,816.41 and 2,348.25 is: 3,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.73 : 3,816.41 = 2,348.25 : x
  2. Step 2: Convert to fraction form
    2,543.73/3,816.41 = 2,348.25/x
  3. Step 3: Cross multiply
    2,543.73x = 3,816.41 × 2,348.25
  4. Step 4: Simplify right side
    2,543.73x = 8,961,873.04
  5. Step 5: Solve for x
    x = 8,961,873.04/2,543.73
  6. Step 6: Final answer
    x = 3,523.12

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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.