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Finding the Fourth Proportional to 2,814.77, 3,883.82 and 2,069.37

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Solution

The fourth proportional to 2,814.77, 3,883.82 and 2,069.37 is: 2,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.77 : 3,883.82 = 2,069.37 : x
  2. Step 2: Convert to fraction form
    2,814.77/3,883.82 = 2,069.37/x
  3. Step 3: Cross multiply
    2,814.77x = 3,883.82 × 2,069.37
  4. Step 4: Simplify right side
    2,814.77x = 8,037,050.25
  5. Step 5: Solve for x
    x = 8,037,050.25/2,814.77
  6. Step 6: Final answer
    x = 2,855.31

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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.