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Finding the Fourth Proportional to 2,677.37, 4,014.09 and 1,289.21

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Solution

The fourth proportional to 2,677.37, 4,014.09 and 1,289.21 is: 1,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.37 : 4,014.09 = 1,289.21 : x
  2. Step 2: Convert to fraction form
    2,677.37/4,014.09 = 1,289.21/x
  3. Step 3: Cross multiply
    2,677.37x = 4,014.09 × 1,289.21
  4. Step 4: Simplify right side
    2,677.37x = 5,174,984.90
  5. Step 5: Solve for x
    x = 5,174,984.90/2,677.37
  6. Step 6: Final answer
    x = 1,932.86

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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.