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Finding the Fourth Proportional to 2,069.52, 3,100.22 and 1,202.02

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Solution

The fourth proportional to 2,069.52, 3,100.22 and 1,202.02 is: 1,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.52 : 3,100.22 = 1,202.02 : x
  2. Step 2: Convert to fraction form
    2,069.52/3,100.22 = 1,202.02/x
  3. Step 3: Cross multiply
    2,069.52x = 3,100.22 × 1,202.02
  4. Step 4: Simplify right side
    2,069.52x = 3,726,526.44
  5. Step 5: Solve for x
    x = 3,726,526.44/2,069.52
  6. Step 6: Final answer
    x = 1,800.67

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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.