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Finding the Fourth Proportional to 2,832.70, 3,909.74 and 2,162.25

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Solution

The fourth proportional to 2,832.70, 3,909.74 and 2,162.25 is: 2,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.70 : 3,909.74 = 2,162.25 : x
  2. Step 2: Convert to fraction form
    2,832.70/3,909.74 = 2,162.25/x
  3. Step 3: Cross multiply
    2,832.70x = 3,909.74 × 2,162.25
  4. Step 4: Simplify right side
    2,832.70x = 8,453,835.32
  5. Step 5: Solve for x
    x = 8,453,835.32/2,832.70
  6. Step 6: Final answer
    x = 2,984.37

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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.