Home / 1,403.50-2,105.67-817.43

Finding the Fourth Proportional to 1,403.50, 2,105.67 and 817.43

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Solution

The fourth proportional to 1,403.50, 2,105.67 and 817.43 is: 1,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.50 : 2,105.67 = 817.43 : x
  2. Step 2: Convert to fraction form
    1,403.50/2,105.67 = 817.43/x
  3. Step 3: Cross multiply
    1,403.50x = 2,105.67 × 817.43
  4. Step 4: Simplify right side
    1,403.50x = 1,721,246.94
  5. Step 5: Solve for x
    x = 1,721,246.94/1,403.50
  6. Step 6: Final answer
    x = 1,226.39

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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.