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Finding the Fourth Proportional to 2,212.63, 3,319.12 and 895.76

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Solution

The fourth proportional to 2,212.63, 3,319.12 and 895.76 is: 1,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.63 : 3,319.12 = 895.76 : x
  2. Step 2: Convert to fraction form
    2,212.63/3,319.12 = 895.76/x
  3. Step 3: Cross multiply
    2,212.63x = 3,319.12 × 895.76
  4. Step 4: Simplify right side
    2,212.63x = 2,973,147.16
  5. Step 5: Solve for x
    x = 2,973,147.16/2,212.63
  6. Step 6: Final answer
    x = 1,343.71

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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.