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Finding the Fourth Proportional to 2,320.78, 3,481.94 and 1,543.84

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Solution

The fourth proportional to 2,320.78, 3,481.94 and 1,543.84 is: 2,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.78 : 3,481.94 = 1,543.84 : x
  2. Step 2: Convert to fraction form
    2,320.78/3,481.94 = 1,543.84/x
  3. Step 3: Cross multiply
    2,320.78x = 3,481.94 × 1,543.84
  4. Step 4: Simplify right side
    2,320.78x = 5,375,558.25
  5. Step 5: Solve for x
    x = 5,375,558.25/2,320.78
  6. Step 6: Final answer
    x = 2,316.27

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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.