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Finding the Fourth Proportional to 2,189.67, 3,285.72 and 1,640.22

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Solution

The fourth proportional to 2,189.67, 3,285.72 and 1,640.22 is: 2,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.67 : 3,285.72 = 1,640.22 : x
  2. Step 2: Convert to fraction form
    2,189.67/3,285.72 = 1,640.22/x
  3. Step 3: Cross multiply
    2,189.67x = 3,285.72 × 1,640.22
  4. Step 4: Simplify right side
    2,189.67x = 5,389,303.66
  5. Step 5: Solve for x
    x = 5,389,303.66/2,189.67
  6. Step 6: Final answer
    x = 2,461.24

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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.