Home / 1,600.24-2,398.69-675.02

Finding the Fourth Proportional to 1,600.24, 2,398.69 and 675.02

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Solution

The fourth proportional to 1,600.24, 2,398.69 and 675.02 is: 1,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.24 : 2,398.69 = 675.02 : x
  2. Step 2: Convert to fraction form
    1,600.24/2,398.69 = 675.02/x
  3. Step 3: Cross multiply
    1,600.24x = 2,398.69 × 675.02
  4. Step 4: Simplify right side
    1,600.24x = 1,619,163.72
  5. Step 5: Solve for x
    x = 1,619,163.72/1,600.24
  6. Step 6: Final answer
    x = 1,011.83

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Why These Related Problems?

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