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Finding the Fourth Proportional to 2,212.08, 3,316.97 and 651.88

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Solution

The fourth proportional to 2,212.08, 3,316.97 and 651.88 is: 977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.08 : 3,316.97 = 651.88 : x
  2. Step 2: Convert to fraction form
    2,212.08/3,316.97 = 651.88/x
  3. Step 3: Cross multiply
    2,212.08x = 3,316.97 × 651.88
  4. Step 4: Simplify right side
    2,212.08x = 2,162,257.30
  5. Step 5: Solve for x
    x = 2,162,257.30/2,212.08
  6. Step 6: Final answer
    x = 977.48

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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.