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Finding the Fourth Proportional to 2,605.94, 3,906.27 and 1,304.67

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Solution

The fourth proportional to 2,605.94, 3,906.27 and 1,304.67 is: 1,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.94 : 3,906.27 = 1,304.67 : x
  2. Step 2: Convert to fraction form
    2,605.94/3,906.27 = 1,304.67/x
  3. Step 3: Cross multiply
    2,605.94x = 3,906.27 × 1,304.67
  4. Step 4: Simplify right side
    2,605.94x = 5,096,393.28
  5. Step 5: Solve for x
    x = 5,096,393.28/2,605.94
  6. Step 6: Final answer
    x = 1,955.69

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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.