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Finding the Fourth Proportional to 2,147.76, 2,960.42 and 1,622.88

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Solution

The fourth proportional to 2,147.76, 2,960.42 and 1,622.88 is: 2,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.76 : 2,960.42 = 1,622.88 : x
  2. Step 2: Convert to fraction form
    2,147.76/2,960.42 = 1,622.88/x
  3. Step 3: Cross multiply
    2,147.76x = 2,960.42 × 1,622.88
  4. Step 4: Simplify right side
    2,147.76x = 4,804,398.30
  5. Step 5: Solve for x
    x = 4,804,398.30/2,147.76
  6. Step 6: Final answer
    x = 2,236.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.