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Finding the Fourth Proportional to 2,138.91, 2,950.25 and 1,609.17

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Solution

The fourth proportional to 2,138.91, 2,950.25 and 1,609.17 is: 2,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.91 : 2,950.25 = 1,609.17 : x
  2. Step 2: Convert to fraction form
    2,138.91/2,950.25 = 1,609.17/x
  3. Step 3: Cross multiply
    2,138.91x = 2,950.25 × 1,609.17
  4. Step 4: Simplify right side
    2,138.91x = 4,747,443.06
  5. Step 5: Solve for x
    x = 4,747,443.06/2,138.91
  6. Step 6: Final answer
    x = 2,219.57

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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.