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Finding the Fourth Proportional to 2,170.26, 2,992.14 and 1,382.94

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Solution

The fourth proportional to 2,170.26, 2,992.14 and 1,382.94 is: 1,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.26 : 2,992.14 = 1,382.94 : x
  2. Step 2: Convert to fraction form
    2,170.26/2,992.14 = 1,382.94/x
  3. Step 3: Cross multiply
    2,170.26x = 2,992.14 × 1,382.94
  4. Step 4: Simplify right side
    2,170.26x = 4,137,950.09
  5. Step 5: Solve for x
    x = 4,137,950.09/2,170.26
  6. Step 6: Final answer
    x = 1,906.66

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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.