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Finding the Fourth Proportional to 2,188.19, 3,023.25 and 1,950.05

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Solution

The fourth proportional to 2,188.19, 3,023.25 and 1,950.05 is: 2,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.19 : 3,023.25 = 1,950.05 : x
  2. Step 2: Convert to fraction form
    2,188.19/3,023.25 = 1,950.05/x
  3. Step 3: Cross multiply
    2,188.19x = 3,023.25 × 1,950.05
  4. Step 4: Simplify right side
    2,188.19x = 5,895,488.66
  5. Step 5: Solve for x
    x = 5,895,488.66/2,188.19
  6. Step 6: Final answer
    x = 2,694.23

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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.