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Finding the Fourth Proportional to 2,992.14, 4,485.75 and 2,601.22

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Solution

The fourth proportional to 2,992.14, 4,485.75 and 2,601.22 is: 3,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.14 : 4,485.75 = 2,601.22 : x
  2. Step 2: Convert to fraction form
    2,992.14/4,485.75 = 2,601.22/x
  3. Step 3: Cross multiply
    2,992.14x = 4,485.75 × 2,601.22
  4. Step 4: Simplify right side
    2,992.14x = 11,668,422.62
  5. Step 5: Solve for x
    x = 11,668,422.62/2,992.14
  6. Step 6: Final answer
    x = 3,899.69

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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.