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Finding the Fourth Proportional to 2,814.07, 4,221.57 and 866.28

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Solution

The fourth proportional to 2,814.07, 4,221.57 and 866.28 is: 1,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.07 : 4,221.57 = 866.28 : x
  2. Step 2: Convert to fraction form
    2,814.07/4,221.57 = 866.28/x
  3. Step 3: Cross multiply
    2,814.07x = 4,221.57 × 866.28
  4. Step 4: Simplify right side
    2,814.07x = 3,657,061.66
  5. Step 5: Solve for x
    x = 3,657,061.66/2,814.07
  6. Step 6: Final answer
    x = 1,299.56

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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.