Home / 1,447.20-1,996.65-923.54

Finding the Fourth Proportional to 1,447.20, 1,996.65 and 923.54

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Solution

The fourth proportional to 1,447.20, 1,996.65 and 923.54 is: 1,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.20 : 1,996.65 = 923.54 : x
  2. Step 2: Convert to fraction form
    1,447.20/1,996.65 = 923.54/x
  3. Step 3: Cross multiply
    1,447.20x = 1,996.65 × 923.54
  4. Step 4: Simplify right side
    1,447.20x = 1,843,976.16
  5. Step 5: Solve for x
    x = 1,843,976.16/1,447.20
  6. Step 6: Final answer
    x = 1,274.17

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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.