Home / 1,727.72-2,384.26-941.77

Finding the Fourth Proportional to 1,727.72, 2,384.26 and 941.77

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Solution

The fourth proportional to 1,727.72, 2,384.26 and 941.77 is: 1,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.72 : 2,384.26 = 941.77 : x
  2. Step 2: Convert to fraction form
    1,727.72/2,384.26 = 941.77/x
  3. Step 3: Cross multiply
    1,727.72x = 2,384.26 × 941.77
  4. Step 4: Simplify right side
    1,727.72x = 2,245,425.17
  5. Step 5: Solve for x
    x = 2,245,425.17/1,727.72
  6. Step 6: Final answer
    x = 1,299.65

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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.