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Finding the Fourth Proportional to 2,812, 4,216.86 and 962.68

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Solution

The fourth proportional to 2,812, 4,216.86 and 962.68 is: 1,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812 : 4,216.86 = 962.68 : x
  2. Step 2: Convert to fraction form
    2,812/4,216.86 = 962.68/x
  3. Step 3: Cross multiply
    2,812x = 4,216.86 × 962.68
  4. Step 4: Simplify right side
    2,812x = 4,059,486.78
  5. Step 5: Solve for x
    x = 4,059,486.78/2,812
  6. Step 6: Final answer
    x = 1,443.63

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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.