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Finding the Fourth Proportional to 2,846.73, 3,926.91 and 1,667.57

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Solution

The fourth proportional to 2,846.73, 3,926.91 and 1,667.57 is: 2,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.73 : 3,926.91 = 1,667.57 : x
  2. Step 2: Convert to fraction form
    2,846.73/3,926.91 = 1,667.57/x
  3. Step 3: Cross multiply
    2,846.73x = 3,926.91 × 1,667.57
  4. Step 4: Simplify right side
    2,846.73x = 6,548,391.95
  5. Step 5: Solve for x
    x = 6,548,391.95/2,846.73
  6. Step 6: Final answer
    x = 2,300.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.