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Finding the Fourth Proportional to 2,096.83, 3,145.24 and 2,062.35

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Solution

The fourth proportional to 2,096.83, 3,145.24 and 2,062.35 is: 3,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.83 : 3,145.24 = 2,062.35 : x
  2. Step 2: Convert to fraction form
    2,096.83/3,145.24 = 2,062.35/x
  3. Step 3: Cross multiply
    2,096.83x = 3,145.24 × 2,062.35
  4. Step 4: Simplify right side
    2,096.83x = 6,486,598.73
  5. Step 5: Solve for x
    x = 6,486,598.73/2,096.83
  6. Step 6: Final answer
    x = 3,093.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.