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Finding the Fourth Proportional to 3,206.80, 4,804.53 and 2,228.32

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Solution

The fourth proportional to 3,206.80, 4,804.53 and 2,228.32 is: 3,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.80 : 4,804.53 = 2,228.32 : x
  2. Step 2: Convert to fraction form
    3,206.80/4,804.53 = 2,228.32/x
  3. Step 3: Cross multiply
    3,206.80x = 4,804.53 × 2,228.32
  4. Step 4: Simplify right side
    3,206.80x = 10,706,030.29
  5. Step 5: Solve for x
    x = 10,706,030.29/3,206.80
  6. Step 6: Final answer
    x = 3,338.54

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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.