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Finding the Fourth Proportional to 2,193.22, 3,287.67 and 1,804.42

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Solution

The fourth proportional to 2,193.22, 3,287.67 and 1,804.42 is: 2,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.22 : 3,287.67 = 1,804.42 : x
  2. Step 2: Convert to fraction form
    2,193.22/3,287.67 = 1,804.42/x
  3. Step 3: Cross multiply
    2,193.22x = 3,287.67 × 1,804.42
  4. Step 4: Simplify right side
    2,193.22x = 5,932,337.50
  5. Step 5: Solve for x
    x = 5,932,337.50/2,193.22
  6. Step 6: Final answer
    x = 2,704.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.