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Finding the Fourth Proportional to 2,377.81, 3,280.50 and 1,481.14

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Solution

The fourth proportional to 2,377.81, 3,280.50 and 1,481.14 is: 2,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.81 : 3,280.50 = 1,481.14 : x
  2. Step 2: Convert to fraction form
    2,377.81/3,280.50 = 1,481.14/x
  3. Step 3: Cross multiply
    2,377.81x = 3,280.50 × 1,481.14
  4. Step 4: Simplify right side
    2,377.81x = 4,858,865.42
  5. Step 5: Solve for x
    x = 4,858,865.42/2,377.81
  6. Step 6: Final answer
    x = 2,043.42

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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.