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Finding the Fourth Proportional to 2,021.90, 3,033.04 and 723.86

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Solution

The fourth proportional to 2,021.90, 3,033.04 and 723.86 is: 1,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.90 : 3,033.04 = 723.86 : x
  2. Step 2: Convert to fraction form
    2,021.90/3,033.04 = 723.86/x
  3. Step 3: Cross multiply
    2,021.90x = 3,033.04 × 723.86
  4. Step 4: Simplify right side
    2,021.90x = 2,195,496.33
  5. Step 5: Solve for x
    x = 2,195,496.33/2,021.90
  6. Step 6: Final answer
    x = 1,085.86

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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.