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Finding the Fourth Proportional to 2,106.52, 3,163.74 and 2,014.36

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Solution

The fourth proportional to 2,106.52, 3,163.74 and 2,014.36 is: 3,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.52 : 3,163.74 = 2,014.36 : x
  2. Step 2: Convert to fraction form
    2,106.52/3,163.74 = 2,014.36/x
  3. Step 3: Cross multiply
    2,106.52x = 3,163.74 × 2,014.36
  4. Step 4: Simplify right side
    2,106.52x = 6,372,911.31
  5. Step 5: Solve for x
    x = 6,372,911.31/2,106.52
  6. Step 6: Final answer
    x = 3,025.33

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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.