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Finding the Fourth Proportional to 2,056.12, 3,084.39 and 960.81

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Solution

The fourth proportional to 2,056.12, 3,084.39 and 960.81 is: 1,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.12 : 3,084.39 = 960.81 : x
  2. Step 2: Convert to fraction form
    2,056.12/3,084.39 = 960.81/x
  3. Step 3: Cross multiply
    2,056.12x = 3,084.39 × 960.81
  4. Step 4: Simplify right side
    2,056.12x = 2,963,512.76
  5. Step 5: Solve for x
    x = 2,963,512.76/2,056.12
  6. Step 6: Final answer
    x = 1,441.31

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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.