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Finding the Fourth Proportional to 3,128.80, 4,693.20 and 1,896.57

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Solution

The fourth proportional to 3,128.80, 4,693.20 and 1,896.57 is: 2,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.80 : 4,693.20 = 1,896.57 : x
  2. Step 2: Convert to fraction form
    3,128.80/4,693.20 = 1,896.57/x
  3. Step 3: Cross multiply
    3,128.80x = 4,693.20 × 1,896.57
  4. Step 4: Simplify right side
    3,128.80x = 8,900,958.86
  5. Step 5: Solve for x
    x = 8,900,958.86/3,128.80
  6. Step 6: Final answer
    x = 2,844.85

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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.