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Finding the Fourth Proportional to 2,099.94, 3,149.16 and 694.10

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Solution

The fourth proportional to 2,099.94, 3,149.16 and 694.10 is: 1,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.94 : 3,149.16 = 694.10 : x
  2. Step 2: Convert to fraction form
    2,099.94/3,149.16 = 694.10/x
  3. Step 3: Cross multiply
    2,099.94x = 3,149.16 × 694.10
  4. Step 4: Simplify right side
    2,099.94x = 2,185,820.86
  5. Step 5: Solve for x
    x = 2,185,820.86/2,099.94
  6. Step 6: Final answer
    x = 1,040.90

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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.