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Finding the Fourth Proportional to 2,212.41, 3,318.59 and 752.58

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Solution

The fourth proportional to 2,212.41, 3,318.59 and 752.58 is: 1,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.41 : 3,318.59 = 752.58 : x
  2. Step 2: Convert to fraction form
    2,212.41/3,318.59 = 752.58/x
  3. Step 3: Cross multiply
    2,212.41x = 3,318.59 × 752.58
  4. Step 4: Simplify right side
    2,212.41x = 2,497,500.70
  5. Step 5: Solve for x
    x = 2,497,500.70/2,212.41
  6. Step 6: Final answer
    x = 1,128.86

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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.