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Finding the Fourth Proportional to 2,814.73, 4,222.91 and 867.22

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Solution

The fourth proportional to 2,814.73, 4,222.91 and 867.22 is: 1,301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.73 : 4,222.91 = 867.22 : x
  2. Step 2: Convert to fraction form
    2,814.73/4,222.91 = 867.22/x
  3. Step 3: Cross multiply
    2,814.73x = 4,222.91 × 867.22
  4. Step 4: Simplify right side
    2,814.73x = 3,662,192.01
  5. Step 5: Solve for x
    x = 3,662,192.01/2,814.73
  6. Step 6: Final answer
    x = 1,301.08

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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.