Home / 1,728.24-2,384.97-942.27

Finding the Fourth Proportional to 1,728.24, 2,384.97 and 942.27

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Solution

The fourth proportional to 1,728.24, 2,384.97 and 942.27 is: 1,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.24 : 2,384.97 = 942.27 : x
  2. Step 2: Convert to fraction form
    1,728.24/2,384.97 = 942.27/x
  3. Step 3: Cross multiply
    1,728.24x = 2,384.97 × 942.27
  4. Step 4: Simplify right side
    1,728.24x = 2,247,291.09
  5. Step 5: Solve for x
    x = 2,247,291.09/1,728.24
  6. Step 6: Final answer
    x = 1,300.33

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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.