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Finding the Fourth Proportional to 3,072.05, 4,608.07 and 763.55

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Solution

The fourth proportional to 3,072.05, 4,608.07 and 763.55 is: 1,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.05 : 4,608.07 = 763.55 : x
  2. Step 2: Convert to fraction form
    3,072.05/4,608.07 = 763.55/x
  3. Step 3: Cross multiply
    3,072.05x = 4,608.07 × 763.55
  4. Step 4: Simplify right side
    3,072.05x = 3,518,480.33
  5. Step 5: Solve for x
    x = 3,518,480.33/3,072.05
  6. Step 6: Final answer
    x = 1,145.32

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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.