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Finding the Fourth Proportional to 3,212.67, 4,823.78 and 1,976.52

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Solution

The fourth proportional to 3,212.67, 4,823.78 and 1,976.52 is: 2,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.67 : 4,823.78 = 1,976.52 : x
  2. Step 2: Convert to fraction form
    3,212.67/4,823.78 = 1,976.52/x
  3. Step 3: Cross multiply
    3,212.67x = 4,823.78 × 1,976.52
  4. Step 4: Simplify right side
    3,212.67x = 9,534,287.76
  5. Step 5: Solve for x
    x = 9,534,287.76/3,212.67
  6. Step 6: Final answer
    x = 2,967.71

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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.