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Finding the Fourth Proportional to 2,833.22, 4,249.98 and 2,009.15

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Solution

The fourth proportional to 2,833.22, 4,249.98 and 2,009.15 is: 3,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.22 : 4,249.98 = 2,009.15 : x
  2. Step 2: Convert to fraction form
    2,833.22/4,249.98 = 2,009.15/x
  3. Step 3: Cross multiply
    2,833.22x = 4,249.98 × 2,009.15
  4. Step 4: Simplify right side
    2,833.22x = 8,538,826.07
  5. Step 5: Solve for x
    x = 8,538,826.07/2,833.22
  6. Step 6: Final answer
    x = 3,013.82

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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.