Home / 2,142.78-3,217.12-1,103.64

Finding the Fourth Proportional to 2,142.78, 3,217.12 and 1,103.64

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Solution

The fourth proportional to 2,142.78, 3,217.12 and 1,103.64 is: 1,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.78 : 3,217.12 = 1,103.64 : x
  2. Step 2: Convert to fraction form
    2,142.78/3,217.12 = 1,103.64/x
  3. Step 3: Cross multiply
    2,142.78x = 3,217.12 × 1,103.64
  4. Step 4: Simplify right side
    2,142.78x = 3,550,542.32
  5. Step 5: Solve for x
    x = 3,550,542.32/2,142.78
  6. Step 6: Final answer
    x = 1,656.98

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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.