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Finding the Fourth Proportional to 2,366.78, 3,550.08 and 723.24

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Solution

The fourth proportional to 2,366.78, 3,550.08 and 723.24 is: 1,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.78 : 3,550.08 = 723.24 : x
  2. Step 2: Convert to fraction form
    2,366.78/3,550.08 = 723.24/x
  3. Step 3: Cross multiply
    2,366.78x = 3,550.08 × 723.24
  4. Step 4: Simplify right side
    2,366.78x = 2,567,559.86
  5. Step 5: Solve for x
    x = 2,567,559.86/2,366.78
  6. Step 6: Final answer
    x = 1,084.83

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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.