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Finding the Fourth Proportional to 2,780.53, 4,162.59 and 2,162.09

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Solution

The fourth proportional to 2,780.53, 4,162.59 and 2,162.09 is: 3,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.53 : 4,162.59 = 2,162.09 : x
  2. Step 2: Convert to fraction form
    2,780.53/4,162.59 = 2,162.09/x
  3. Step 3: Cross multiply
    2,780.53x = 4,162.59 × 2,162.09
  4. Step 4: Simplify right side
    2,780.53x = 8,999,904.62
  5. Step 5: Solve for x
    x = 8,999,904.62/2,780.53
  6. Step 6: Final answer
    x = 3,236.76

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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.