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Finding the Fourth Proportional to 2,190.57, 3,021.48 and 1,305.69

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Solution

The fourth proportional to 2,190.57, 3,021.48 and 1,305.69 is: 1,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.57 : 3,021.48 = 1,305.69 : x
  2. Step 2: Convert to fraction form
    2,190.57/3,021.48 = 1,305.69/x
  3. Step 3: Cross multiply
    2,190.57x = 3,021.48 × 1,305.69
  4. Step 4: Simplify right side
    2,190.57x = 3,945,116.22
  5. Step 5: Solve for x
    x = 3,945,116.22/2,190.57
  6. Step 6: Final answer
    x = 1,800.95

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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.