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Finding the Fourth Proportional to 2,143.03, 3,216.36 and 845.41

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Solution

The fourth proportional to 2,143.03, 3,216.36 and 845.41 is: 1,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.03 : 3,216.36 = 845.41 : x
  2. Step 2: Convert to fraction form
    2,143.03/3,216.36 = 845.41/x
  3. Step 3: Cross multiply
    2,143.03x = 3,216.36 × 845.41
  4. Step 4: Simplify right side
    2,143.03x = 2,719,142.91
  5. Step 5: Solve for x
    x = 2,719,142.91/2,143.03
  6. Step 6: Final answer
    x = 1,268.83

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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.