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Finding the Fourth Proportional to 2,212.32, 3,316.64 and 824.88

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Solution

The fourth proportional to 2,212.32, 3,316.64 and 824.88 is: 1,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.32 : 3,316.64 = 824.88 : x
  2. Step 2: Convert to fraction form
    2,212.32/3,316.64 = 824.88/x
  3. Step 3: Cross multiply
    2,212.32x = 3,316.64 × 824.88
  4. Step 4: Simplify right side
    2,212.32x = 2,735,825.88
  5. Step 5: Solve for x
    x = 2,735,825.88/2,212.32
  6. Step 6: Final answer
    x = 1,236.63

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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.