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Finding the Fourth Proportional to 2,288.93, 3,160.33 and 2,021.33

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Solution

The fourth proportional to 2,288.93, 3,160.33 and 2,021.33 is: 2,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.93 : 3,160.33 = 2,021.33 : x
  2. Step 2: Convert to fraction form
    2,288.93/3,160.33 = 2,021.33/x
  3. Step 3: Cross multiply
    2,288.93x = 3,160.33 × 2,021.33
  4. Step 4: Simplify right side
    2,288.93x = 6,388,048.98
  5. Step 5: Solve for x
    x = 6,388,048.98/2,288.93
  6. Step 6: Final answer
    x = 2,790.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.