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Finding the Fourth Proportional to 3,208.74, 4,809.44 and 1,455.08

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Solution

The fourth proportional to 3,208.74, 4,809.44 and 1,455.08 is: 2,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.74 : 4,809.44 = 1,455.08 : x
  2. Step 2: Convert to fraction form
    3,208.74/4,809.44 = 1,455.08/x
  3. Step 3: Cross multiply
    3,208.74x = 4,809.44 × 1,455.08
  4. Step 4: Simplify right side
    3,208.74x = 6,998,119.96
  5. Step 5: Solve for x
    x = 6,998,119.96/3,208.74
  6. Step 6: Final answer
    x = 2,180.96

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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.