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Finding the Fourth Proportional to 3,206.62, 4,796.04 and 1,887.23

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Solution

The fourth proportional to 3,206.62, 4,796.04 and 1,887.23 is: 2,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.62 : 4,796.04 = 1,887.23 : x
  2. Step 2: Convert to fraction form
    3,206.62/4,796.04 = 1,887.23/x
  3. Step 3: Cross multiply
    3,206.62x = 4,796.04 × 1,887.23
  4. Step 4: Simplify right side
    3,206.62x = 9,051,249.64
  5. Step 5: Solve for x
    x = 9,051,249.64/3,206.62
  6. Step 6: Final answer
    x = 2,822.67

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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.