Home / 2,142.72-3,198.24-2,127.60

Finding the Fourth Proportional to 2,142.72, 3,198.24 and 2,127.60

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Solution

The fourth proportional to 2,142.72, 3,198.24 and 2,127.60 is: 3,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.72 : 3,198.24 = 2,127.60 : x
  2. Step 2: Convert to fraction form
    2,142.72/3,198.24 = 2,127.60/x
  3. Step 3: Cross multiply
    2,142.72x = 3,198.24 × 2,127.60
  4. Step 4: Simplify right side
    2,142.72x = 6,804,575.42
  5. Step 5: Solve for x
    x = 6,804,575.42/2,142.72
  6. Step 6: Final answer
    x = 3,175.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.