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Finding the Fourth Proportional to 2,138.40, 2,950.44 and 1,989.75

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Solution

The fourth proportional to 2,138.40, 2,950.44 and 1,989.75 is: 2,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.40 : 2,950.44 = 1,989.75 : x
  2. Step 2: Convert to fraction form
    2,138.40/2,950.44 = 1,989.75/x
  3. Step 3: Cross multiply
    2,138.40x = 2,950.44 × 1,989.75
  4. Step 4: Simplify right side
    2,138.40x = 5,870,637.99
  5. Step 5: Solve for x
    x = 5,870,637.99/2,138.40
  6. Step 6: Final answer
    x = 2,745.34

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Why These Related Problems?

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