Home / 1,828.27-2,743.62-1,706.77

Finding the Fourth Proportional to 1,828.27, 2,743.62 and 1,706.77

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Solution

The fourth proportional to 1,828.27, 2,743.62 and 1,706.77 is: 2,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.27 : 2,743.62 = 1,706.77 : x
  2. Step 2: Convert to fraction form
    1,828.27/2,743.62 = 1,706.77/x
  3. Step 3: Cross multiply
    1,828.27x = 2,743.62 × 1,706.77
  4. Step 4: Simplify right side
    1,828.27x = 4,682,728.31
  5. Step 5: Solve for x
    x = 4,682,728.31/1,828.27
  6. Step 6: Final answer
    x = 2,561.29

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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.