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Finding the Fourth Proportional to 2,367.33, 3,550.99 and 723.87

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Solution

The fourth proportional to 2,367.33, 3,550.99 and 723.87 is: 1,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.33 : 3,550.99 = 723.87 : x
  2. Step 2: Convert to fraction form
    2,367.33/3,550.99 = 723.87/x
  3. Step 3: Cross multiply
    2,367.33x = 3,550.99 × 723.87
  4. Step 4: Simplify right side
    2,367.33x = 2,570,457.31
  5. Step 5: Solve for x
    x = 2,570,457.31/2,367.33
  6. Step 6: Final answer
    x = 1,085.81

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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.