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Finding the Fourth Proportional to 2,112.84, 3,153.72 and 1,960.68

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Solution

The fourth proportional to 2,112.84, 3,153.72 and 1,960.68 is: 2,926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.84 : 3,153.72 = 1,960.68 : x
  2. Step 2: Convert to fraction form
    2,112.84/3,153.72 = 1,960.68/x
  3. Step 3: Cross multiply
    2,112.84x = 3,153.72 × 1,960.68
  4. Step 4: Simplify right side
    2,112.84x = 6,183,435.73
  5. Step 5: Solve for x
    x = 6,183,435.73/2,112.84
  6. Step 6: Final answer
    x = 2,926.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.