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Finding the Fourth Proportional to 3,072.95, 4,609.40 and 764.45

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Solution

The fourth proportional to 3,072.95, 4,609.40 and 764.45 is: 1,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.95 : 4,609.40 = 764.45 : x
  2. Step 2: Convert to fraction form
    3,072.95/4,609.40 = 764.45/x
  3. Step 3: Cross multiply
    3,072.95x = 4,609.40 × 764.45
  4. Step 4: Simplify right side
    3,072.95x = 3,523,628.96
  5. Step 5: Solve for x
    x = 3,523,628.96/3,072.95
  6. Step 6: Final answer
    x = 1,146.66

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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.