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Finding the Fourth Proportional to 2,468.63, 3,704.41 and 909.73

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Solution

The fourth proportional to 2,468.63, 3,704.41 and 909.73 is: 1,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.63 : 3,704.41 = 909.73 : x
  2. Step 2: Convert to fraction form
    2,468.63/3,704.41 = 909.73/x
  3. Step 3: Cross multiply
    2,468.63x = 3,704.41 × 909.73
  4. Step 4: Simplify right side
    2,468.63x = 3,370,012.91
  5. Step 5: Solve for x
    x = 3,370,012.91/2,468.63
  6. Step 6: Final answer
    x = 1,365.13

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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.