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Finding the Fourth Proportional to 3,072.66, 4,609.02 and 764.16

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Solution

The fourth proportional to 3,072.66, 4,609.02 and 764.16 is: 1,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.66 : 4,609.02 = 764.16 : x
  2. Step 2: Convert to fraction form
    3,072.66/4,609.02 = 764.16/x
  3. Step 3: Cross multiply
    3,072.66x = 4,609.02 × 764.16
  4. Step 4: Simplify right side
    3,072.66x = 3,522,028.72
  5. Step 5: Solve for x
    x = 3,522,028.72/3,072.66
  6. Step 6: Final answer
    x = 1,146.25

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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.