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Finding the Fourth Proportional to 2,095.78, 2,892.18 and 1,211.58

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Solution

The fourth proportional to 2,095.78, 2,892.18 and 1,211.58 is: 1,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.78 : 2,892.18 = 1,211.58 : x
  2. Step 2: Convert to fraction form
    2,095.78/2,892.18 = 1,211.58/x
  3. Step 3: Cross multiply
    2,095.78x = 2,892.18 × 1,211.58
  4. Step 4: Simplify right side
    2,095.78x = 3,504,107.44
  5. Step 5: Solve for x
    x = 3,504,107.44/2,095.78
  6. Step 6: Final answer
    x = 1,671.98

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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.