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Finding the Fourth Proportional to 3,072.34, 4,609.67 and 1,840.64

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Solution

The fourth proportional to 3,072.34, 4,609.67 and 1,840.64 is: 2,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.34 : 4,609.67 = 1,840.64 : x
  2. Step 2: Convert to fraction form
    3,072.34/4,609.67 = 1,840.64/x
  3. Step 3: Cross multiply
    3,072.34x = 4,609.67 × 1,840.64
  4. Step 4: Simplify right side
    3,072.34x = 8,484,724.54
  5. Step 5: Solve for x
    x = 8,484,724.54/3,072.34
  6. Step 6: Final answer
    x = 2,761.65

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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.