Home / 1,729.32-2,589.91-849.07

Finding the Fourth Proportional to 1,729.32, 2,589.91 and 849.07

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Solution

The fourth proportional to 1,729.32, 2,589.91 and 849.07 is: 1,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.32 : 2,589.91 = 849.07 : x
  2. Step 2: Convert to fraction form
    1,729.32/2,589.91 = 849.07/x
  3. Step 3: Cross multiply
    1,729.32x = 2,589.91 × 849.07
  4. Step 4: Simplify right side
    1,729.32x = 2,199,014.88
  5. Step 5: Solve for x
    x = 2,199,014.88/1,729.32
  6. Step 6: Final answer
    x = 1,271.61

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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.