Home / 2,723.42-3,758.02-1,604.30

Finding the Fourth Proportional to 2,723.42, 3,758.02 and 1,604.30

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Solution

The fourth proportional to 2,723.42, 3,758.02 and 1,604.30 is: 2,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.42 : 3,758.02 = 1,604.30 : x
  2. Step 2: Convert to fraction form
    2,723.42/3,758.02 = 1,604.30/x
  3. Step 3: Cross multiply
    2,723.42x = 3,758.02 × 1,604.30
  4. Step 4: Simplify right side
    2,723.42x = 6,028,991.49
  5. Step 5: Solve for x
    x = 6,028,991.49/2,723.42
  6. Step 6: Final answer
    x = 2,213.76

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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.