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Finding the Fourth Proportional to 3,208.90, 4,816.09 and 1,262.47

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Solution

The fourth proportional to 3,208.90, 4,816.09 and 1,262.47 is: 1,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.90 : 4,816.09 = 1,262.47 : x
  2. Step 2: Convert to fraction form
    3,208.90/4,816.09 = 1,262.47/x
  3. Step 3: Cross multiply
    3,208.90x = 4,816.09 × 1,262.47
  4. Step 4: Simplify right side
    3,208.90x = 6,080,169.14
  5. Step 5: Solve for x
    x = 6,080,169.14/3,208.90
  6. Step 6: Final answer
    x = 1,894.78

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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.