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Finding the Fourth Proportional to 2,677.08, 3,992.46 and 2,289.54

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Solution

The fourth proportional to 2,677.08, 3,992.46 and 2,289.54 is: 3,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.08 : 3,992.46 = 2,289.54 : x
  2. Step 2: Convert to fraction form
    2,677.08/3,992.46 = 2,289.54/x
  3. Step 3: Cross multiply
    2,677.08x = 3,992.46 × 2,289.54
  4. Step 4: Simplify right side
    2,677.08x = 9,140,896.87
  5. Step 5: Solve for x
    x = 9,140,896.87/2,677.08
  6. Step 6: Final answer
    x = 3,414.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.