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Finding the Fourth Proportional to 3,208.44, 4,809.76 and 1,155.96

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Solution

The fourth proportional to 3,208.44, 4,809.76 and 1,155.96 is: 1,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.44 : 4,809.76 = 1,155.96 : x
  2. Step 2: Convert to fraction form
    3,208.44/4,809.76 = 1,155.96/x
  3. Step 3: Cross multiply
    3,208.44x = 4,809.76 × 1,155.96
  4. Step 4: Simplify right side
    3,208.44x = 5,559,890.17
  5. Step 5: Solve for x
    x = 5,559,890.17/3,208.44
  6. Step 6: Final answer
    x = 1,732.90

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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.