Home / 2,107.20-2,906.40-1,408.32

Finding the Fourth Proportional to 2,107.20, 2,906.40 and 1,408.32

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Solution

The fourth proportional to 2,107.20, 2,906.40 and 1,408.32 is: 1,942.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.20 : 2,906.40 = 1,408.32 : x
  2. Step 2: Convert to fraction form
    2,107.20/2,906.40 = 1,408.32/x
  3. Step 3: Cross multiply
    2,107.20x = 2,906.40 × 1,408.32
  4. Step 4: Simplify right side
    2,107.20x = 4,093,141.25
  5. Step 5: Solve for x
    x = 4,093,141.25/2,107.20
  6. Step 6: Final answer
    x = 1,942.46

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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.