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Finding the Fourth Proportional to 2,096.53, 3,146.64 and 1,096.54

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Solution

The fourth proportional to 2,096.53, 3,146.64 and 1,096.54 is: 1,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.53 : 3,146.64 = 1,096.54 : x
  2. Step 2: Convert to fraction form
    2,096.53/3,146.64 = 1,096.54/x
  3. Step 3: Cross multiply
    2,096.53x = 3,146.64 × 1,096.54
  4. Step 4: Simplify right side
    2,096.53x = 3,450,416.63
  5. Step 5: Solve for x
    x = 3,450,416.63/2,096.53
  6. Step 6: Final answer
    x = 1,645.77

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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.