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Finding the Fourth Proportional to 2,143.83, 3,216.33 and 911.31

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Solution

The fourth proportional to 2,143.83, 3,216.33 and 911.31 is: 1,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.83 : 3,216.33 = 911.31 : x
  2. Step 2: Convert to fraction form
    2,143.83/3,216.33 = 911.31/x
  3. Step 3: Cross multiply
    2,143.83x = 3,216.33 × 911.31
  4. Step 4: Simplify right side
    2,143.83x = 2,931,073.69
  5. Step 5: Solve for x
    x = 2,931,073.69/2,143.83
  6. Step 6: Final answer
    x = 1,367.21

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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.