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Finding the Fourth Proportional to 2,814.14, 4,221.66 and 866.34

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Solution

The fourth proportional to 2,814.14, 4,221.66 and 866.34 is: 1,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.14 : 4,221.66 = 866.34 : x
  2. Step 2: Convert to fraction form
    2,814.14/4,221.66 = 866.34/x
  3. Step 3: Cross multiply
    2,814.14x = 4,221.66 × 866.34
  4. Step 4: Simplify right side
    2,814.14x = 3,657,392.92
  5. Step 5: Solve for x
    x = 3,657,392.92/2,814.14
  6. Step 6: Final answer
    x = 1,299.65

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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.