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Finding the Fourth Proportional to 2,056.27, 3,085.41 and 960.47

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Solution

The fourth proportional to 2,056.27, 3,085.41 and 960.47 is: 1,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.27 : 3,085.41 = 960.47 : x
  2. Step 2: Convert to fraction form
    2,056.27/3,085.41 = 960.47/x
  3. Step 3: Cross multiply
    2,056.27x = 3,085.41 × 960.47
  4. Step 4: Simplify right side
    2,056.27x = 2,963,443.74
  5. Step 5: Solve for x
    x = 2,963,443.74/2,056.27
  6. Step 6: Final answer
    x = 1,441.18

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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.