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Finding the Fourth Proportional to 3,072.17, 4,608.26 and 763.67

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Solution

The fourth proportional to 3,072.17, 4,608.26 and 763.67 is: 1,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.17 : 4,608.26 = 763.67 : x
  2. Step 2: Convert to fraction form
    3,072.17/4,608.26 = 763.67/x
  3. Step 3: Cross multiply
    3,072.17x = 4,608.26 × 763.67
  4. Step 4: Simplify right side
    3,072.17x = 3,519,199.53
  5. Step 5: Solve for x
    x = 3,519,199.53/3,072.17
  6. Step 6: Final answer
    x = 1,145.51

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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.