Home / 2,272.28-3,408.34-1,383

Finding the Fourth Proportional to 2,272.28, 3,408.34 and 1,383

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Solution

The fourth proportional to 2,272.28, 3,408.34 and 1,383 is: 2,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.28 : 3,408.34 = 1,383 : x
  2. Step 2: Convert to fraction form
    2,272.28/3,408.34 = 1,383/x
  3. Step 3: Cross multiply
    2,272.28x = 3,408.34 × 1,383
  4. Step 4: Simplify right side
    2,272.28x = 4,713,734.22
  5. Step 5: Solve for x
    x = 4,713,734.22/2,272.28
  6. Step 6: Final answer
    x = 2,074.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.