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Finding the Fourth Proportional to 2,412.08, 3,618.05 and 768.73

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Solution

The fourth proportional to 2,412.08, 3,618.05 and 768.73 is: 1,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.08 : 3,618.05 = 768.73 : x
  2. Step 2: Convert to fraction form
    2,412.08/3,618.05 = 768.73/x
  3. Step 3: Cross multiply
    2,412.08x = 3,618.05 × 768.73
  4. Step 4: Simplify right side
    2,412.08x = 2,781,287.41
  5. Step 5: Solve for x
    x = 2,781,287.41/2,412.08
  6. Step 6: Final answer
    x = 1,153.07

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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.