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Finding the Fourth Proportional to 2,465.20, 3,698.34 and 733.78

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Solution

The fourth proportional to 2,465.20, 3,698.34 and 733.78 is: 1,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.20 : 3,698.34 = 733.78 : x
  2. Step 2: Convert to fraction form
    2,465.20/3,698.34 = 733.78/x
  3. Step 3: Cross multiply
    2,465.20x = 3,698.34 × 733.78
  4. Step 4: Simplify right side
    2,465.20x = 2,713,767.93
  5. Step 5: Solve for x
    x = 2,713,767.93/2,465.20
  6. Step 6: Final answer
    x = 1,100.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.