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Finding the Fourth Proportional to 2,095.72, 2,892.90 and 1,396.84

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Solution

The fourth proportional to 2,095.72, 2,892.90 and 1,396.84 is: 1,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.72 : 2,892.90 = 1,396.84 : x
  2. Step 2: Convert to fraction form
    2,095.72/2,892.90 = 1,396.84/x
  3. Step 3: Cross multiply
    2,095.72x = 2,892.90 × 1,396.84
  4. Step 4: Simplify right side
    2,095.72x = 4,040,918.44
  5. Step 5: Solve for x
    x = 4,040,918.44/2,095.72
  6. Step 6: Final answer
    x = 1,928.18

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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.