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Finding the Fourth Proportional to 2,096.94, 2,893.92 and 1,387.56

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Solution

The fourth proportional to 2,096.94, 2,893.92 and 1,387.56 is: 1,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.94 : 2,893.92 = 1,387.56 : x
  2. Step 2: Convert to fraction form
    2,096.94/2,893.92 = 1,387.56/x
  3. Step 3: Cross multiply
    2,096.94x = 2,893.92 × 1,387.56
  4. Step 4: Simplify right side
    2,096.94x = 4,015,487.64
  5. Step 5: Solve for x
    x = 4,015,487.64/2,096.94
  6. Step 6: Final answer
    x = 1,914.93

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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.