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Finding the Fourth Proportional to 2,650.31, 3,978.06 and 2,214.37

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Solution

The fourth proportional to 2,650.31, 3,978.06 and 2,214.37 is: 3,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.31 : 3,978.06 = 2,214.37 : x
  2. Step 2: Convert to fraction form
    2,650.31/3,978.06 = 2,214.37/x
  3. Step 3: Cross multiply
    2,650.31x = 3,978.06 × 2,214.37
  4. Step 4: Simplify right side
    2,650.31x = 8,808,876.83
  5. Step 5: Solve for x
    x = 8,808,876.83/2,650.31
  6. Step 6: Final answer
    x = 3,323.72

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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.