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Finding the Fourth Proportional to 2,268.96, 3,400.44 and 2,120.98

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Solution

The fourth proportional to 2,268.96, 3,400.44 and 2,120.98 is: 3,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.96 : 3,400.44 = 2,120.98 : x
  2. Step 2: Convert to fraction form
    2,268.96/3,400.44 = 2,120.98/x
  3. Step 3: Cross multiply
    2,268.96x = 3,400.44 × 2,120.98
  4. Step 4: Simplify right side
    2,268.96x = 7,212,248.23
  5. Step 5: Solve for x
    x = 7,212,248.23/2,268.96
  6. Step 6: Final answer
    x = 3,178.67

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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.