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Finding the Fourth Proportional to 2,814.96, 4,222.58 and 867.45

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Solution

The fourth proportional to 2,814.96, 4,222.58 and 867.45 is: 1,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.96 : 4,222.58 = 867.45 : x
  2. Step 2: Convert to fraction form
    2,814.96/4,222.58 = 867.45/x
  3. Step 3: Cross multiply
    2,814.96x = 4,222.58 × 867.45
  4. Step 4: Simplify right side
    2,814.96x = 3,662,872.68
  5. Step 5: Solve for x
    x = 3,662,872.68/2,814.96
  6. Step 6: Final answer
    x = 1,301.22

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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.