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Finding the Fourth Proportional to 2,216.86, 3,059.20 and 1,208.54

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Solution

The fourth proportional to 2,216.86, 3,059.20 and 1,208.54 is: 1,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.86 : 3,059.20 = 1,208.54 : x
  2. Step 2: Convert to fraction form
    2,216.86/3,059.20 = 1,208.54/x
  3. Step 3: Cross multiply
    2,216.86x = 3,059.20 × 1,208.54
  4. Step 4: Simplify right side
    2,216.86x = 3,697,165.57
  5. Step 5: Solve for x
    x = 3,697,165.57/2,216.86
  6. Step 6: Final answer
    x = 1,667.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.