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Finding the Fourth Proportional to 2,212.07, 3,318.04 and 895.78

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Solution

The fourth proportional to 2,212.07, 3,318.04 and 895.78 is: 1,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.07 : 3,318.04 = 895.78 : x
  2. Step 2: Convert to fraction form
    2,212.07/3,318.04 = 895.78/x
  3. Step 3: Cross multiply
    2,212.07x = 3,318.04 × 895.78
  4. Step 4: Simplify right side
    2,212.07x = 2,972,239.14
  5. Step 5: Solve for x
    x = 2,972,239.14/2,212.07
  6. Step 6: Final answer
    x = 1,343.65

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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.