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Finding the Fourth Proportional to 2,065.98, 3,099.36 and 1,093.16

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Solution

The fourth proportional to 2,065.98, 3,099.36 and 1,093.16 is: 1,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.98 : 3,099.36 = 1,093.16 : x
  2. Step 2: Convert to fraction form
    2,065.98/3,099.36 = 1,093.16/x
  3. Step 3: Cross multiply
    2,065.98x = 3,099.36 × 1,093.16
  4. Step 4: Simplify right side
    2,065.98x = 3,388,096.38
  5. Step 5: Solve for x
    x = 3,388,096.38/2,065.98
  6. Step 6: Final answer
    x = 1,639.95

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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.