Home / 1,745.49-2,617.40-820.27

Finding the Fourth Proportional to 1,745.49, 2,617.40 and 820.27

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Solution

The fourth proportional to 1,745.49, 2,617.40 and 820.27 is: 1,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.49 : 2,617.40 = 820.27 : x
  2. Step 2: Convert to fraction form
    1,745.49/2,617.40 = 820.27/x
  3. Step 3: Cross multiply
    1,745.49x = 2,617.40 × 820.27
  4. Step 4: Simplify right side
    1,745.49x = 2,146,974.70
  5. Step 5: Solve for x
    x = 2,146,974.70/1,745.49
  6. Step 6: Final answer
    x = 1,230.01

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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.