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Finding the Fourth Proportional to 1,318.12, 1,977.18 and 344.22

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Solution

The fourth proportional to 1,318.12, 1,977.18 and 344.22 is: 516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.12 : 1,977.18 = 344.22 : x
  2. Step 2: Convert to fraction form
    1,318.12/1,977.18 = 344.22/x
  3. Step 3: Cross multiply
    1,318.12x = 1,977.18 × 344.22
  4. Step 4: Simplify right side
    1,318.12x = 680,584.90
  5. Step 5: Solve for x
    x = 680,584.90/1,318.12
  6. Step 6: Final answer
    x = 516.33

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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.