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Finding the Fourth Proportional to 2,152.10, 3,230.67 and 1,791.22

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Solution

The fourth proportional to 2,152.10, 3,230.67 and 1,791.22 is: 2,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.10 : 3,230.67 = 1,791.22 : x
  2. Step 2: Convert to fraction form
    2,152.10/3,230.67 = 1,791.22/x
  3. Step 3: Cross multiply
    2,152.10x = 3,230.67 × 1,791.22
  4. Step 4: Simplify right side
    2,152.10x = 5,786,840.72
  5. Step 5: Solve for x
    x = 5,786,840.72/2,152.10
  6. Step 6: Final answer
    x = 2,688.93

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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.