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Finding the Fourth Proportional to 2,362.43, 3,543.81 and 801.80

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Solution

The fourth proportional to 2,362.43, 3,543.81 and 801.80 is: 1,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.43 : 3,543.81 = 801.80 : x
  2. Step 2: Convert to fraction form
    2,362.43/3,543.81 = 801.80/x
  3. Step 3: Cross multiply
    2,362.43x = 3,543.81 × 801.80
  4. Step 4: Simplify right side
    2,362.43x = 2,841,409.14
  5. Step 5: Solve for x
    x = 2,841,409.14/2,362.43
  6. Step 6: Final answer
    x = 1,202.75

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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.