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Finding the Fourth Proportional to 2,543.82, 3,812.54 and 1,448.80

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Solution

The fourth proportional to 2,543.82, 3,812.54 and 1,448.80 is: 2,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.82 : 3,812.54 = 1,448.80 : x
  2. Step 2: Convert to fraction form
    2,543.82/3,812.54 = 1,448.80/x
  3. Step 3: Cross multiply
    2,543.82x = 3,812.54 × 1,448.80
  4. Step 4: Simplify right side
    2,543.82x = 5,523,591.18
  5. Step 5: Solve for x
    x = 5,523,591.18/2,543.82
  6. Step 6: Final answer
    x = 2,171.38

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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.