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Finding the Fourth Proportional to 2,814.00, 4,221.56 and 866.13

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Solution

The fourth proportional to 2,814.00, 4,221.56 and 866.13 is: 1,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.00 : 4,221.56 = 866.13 : x
  2. Step 2: Convert to fraction form
    2,814.00/4,221.56 = 866.13/x
  3. Step 3: Cross multiply
    2,814.00x = 4,221.56 × 866.13
  4. Step 4: Simplify right side
    2,814.00x = 3,656,394.32
  5. Step 5: Solve for x
    x = 3,656,394.32/2,814.00
  6. Step 6: Final answer
    x = 1,299.36

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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.