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Finding the Fourth Proportional to 2,160.92, 3,247.47 and 1,283.57

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Solution

The fourth proportional to 2,160.92, 3,247.47 and 1,283.57 is: 1,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.92 : 3,247.47 = 1,283.57 : x
  2. Step 2: Convert to fraction form
    2,160.92/3,247.47 = 1,283.57/x
  3. Step 3: Cross multiply
    2,160.92x = 3,247.47 × 1,283.57
  4. Step 4: Simplify right side
    2,160.92x = 4,168,355.07
  5. Step 5: Solve for x
    x = 4,168,355.07/2,160.92
  6. Step 6: Final answer
    x = 1,928.97

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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.