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Finding the Fourth Proportional to 2,814.71, 4,222.01 and 866.85

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Solution

The fourth proportional to 2,814.71, 4,222.01 and 866.85 is: 1,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.71 : 4,222.01 = 866.85 : x
  2. Step 2: Convert to fraction form
    2,814.71/4,222.01 = 866.85/x
  3. Step 3: Cross multiply
    2,814.71x = 4,222.01 × 866.85
  4. Step 4: Simplify right side
    2,814.71x = 3,659,845.03
  5. Step 5: Solve for x
    x = 3,659,845.03/2,814.71
  6. Step 6: Final answer
    x = 1,300.26

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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.