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Finding the Fourth Proportional to 3,022.79, 4,534.38 and 943.18

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Solution

The fourth proportional to 3,022.79, 4,534.38 and 943.18 is: 1,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.79 : 4,534.38 = 943.18 : x
  2. Step 2: Convert to fraction form
    3,022.79/4,534.38 = 943.18/x
  3. Step 3: Cross multiply
    3,022.79x = 4,534.38 × 943.18
  4. Step 4: Simplify right side
    3,022.79x = 4,276,725.19
  5. Step 5: Solve for x
    x = 4,276,725.19/3,022.79
  6. Step 6: Final answer
    x = 1,414.83

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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.