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Finding the Fourth Proportional to 2,814.68, 4,222.83 and 867.17

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Solution

The fourth proportional to 2,814.68, 4,222.83 and 867.17 is: 1,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.68 : 4,222.83 = 867.17 : x
  2. Step 2: Convert to fraction form
    2,814.68/4,222.83 = 867.17/x
  3. Step 3: Cross multiply
    2,814.68x = 4,222.83 × 867.17
  4. Step 4: Simplify right side
    2,814.68x = 3,661,890.38
  5. Step 5: Solve for x
    x = 3,661,890.38/2,814.68
  6. Step 6: Final answer
    x = 1,301.00

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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.