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Finding the Fourth Proportional to 2,143.45, 3,216.38 and 845.83

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Solution

The fourth proportional to 2,143.45, 3,216.38 and 845.83 is: 1,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.45 : 3,216.38 = 845.83 : x
  2. Step 2: Convert to fraction form
    2,143.45/3,216.38 = 845.83/x
  3. Step 3: Cross multiply
    2,143.45x = 3,216.38 × 845.83
  4. Step 4: Simplify right side
    2,143.45x = 2,720,510.70
  5. Step 5: Solve for x
    x = 2,720,510.70/2,143.45
  6. Step 6: Final answer
    x = 1,269.22

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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.