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Finding the Fourth Proportional to 1,879.11, 2,817.81 and 782.82

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Solution

The fourth proportional to 1,879.11, 2,817.81 and 782.82 is: 1,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.11 : 2,817.81 = 782.82 : x
  2. Step 2: Convert to fraction form
    1,879.11/2,817.81 = 782.82/x
  3. Step 3: Cross multiply
    1,879.11x = 2,817.81 × 782.82
  4. Step 4: Simplify right side
    1,879.11x = 2,205,838.02
  5. Step 5: Solve for x
    x = 2,205,838.02/1,879.11
  6. Step 6: Final answer
    x = 1,173.87

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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.