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Finding the Fourth Proportional to 2,143.36, 3,216.86 and 845.74

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Solution

The fourth proportional to 2,143.36, 3,216.86 and 845.74 is: 1,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.36 : 3,216.86 = 845.74 : x
  2. Step 2: Convert to fraction form
    2,143.36/3,216.86 = 845.74/x
  3. Step 3: Cross multiply
    2,143.36x = 3,216.86 × 845.74
  4. Step 4: Simplify right side
    2,143.36x = 2,720,606.86
  5. Step 5: Solve for x
    x = 2,720,606.86/2,143.36
  6. Step 6: Final answer
    x = 1,269.32

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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.