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Finding the Fourth Proportional to 2,096.85, 2,893.17 and 1,351.06

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Solution

The fourth proportional to 2,096.85, 2,893.17 and 1,351.06 is: 1,864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.85 : 2,893.17 = 1,351.06 : x
  2. Step 2: Convert to fraction form
    2,096.85/2,893.17 = 1,351.06/x
  3. Step 3: Cross multiply
    2,096.85x = 2,893.17 × 1,351.06
  4. Step 4: Simplify right side
    2,096.85x = 3,908,846.26
  5. Step 5: Solve for x
    x = 3,908,846.26/2,096.85
  6. Step 6: Final answer
    x = 1,864.15

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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.