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Finding the Fourth Proportional to 2,464.65, 3,697.56 and 733.23

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Solution

The fourth proportional to 2,464.65, 3,697.56 and 733.23 is: 1,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.65 : 3,697.56 = 733.23 : x
  2. Step 2: Convert to fraction form
    2,464.65/3,697.56 = 733.23/x
  3. Step 3: Cross multiply
    2,464.65x = 3,697.56 × 733.23
  4. Step 4: Simplify right side
    2,464.65x = 2,711,161.92
  5. Step 5: Solve for x
    x = 2,711,161.92/2,464.65
  6. Step 6: Final answer
    x = 1,100.02

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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.