Home / 1,942.88-2,682.24-1,157.12

Finding the Fourth Proportional to 1,942.88, 2,682.24 and 1,157.12

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Solution

The fourth proportional to 1,942.88, 2,682.24 and 1,157.12 is: 1,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.88 : 2,682.24 = 1,157.12 : x
  2. Step 2: Convert to fraction form
    1,942.88/2,682.24 = 1,157.12/x
  3. Step 3: Cross multiply
    1,942.88x = 2,682.24 × 1,157.12
  4. Step 4: Simplify right side
    1,942.88x = 3,103,673.55
  5. Step 5: Solve for x
    x = 3,103,673.55/1,942.88
  6. Step 6: Final answer
    x = 1,597.46

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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.