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Finding the Fourth Proportional to 3,197.48, 4,791.78 and 2,416.84

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Solution

The fourth proportional to 3,197.48, 4,791.78 and 2,416.84 is: 3,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.48 : 4,791.78 = 2,416.84 : x
  2. Step 2: Convert to fraction form
    3,197.48/4,791.78 = 2,416.84/x
  3. Step 3: Cross multiply
    3,197.48x = 4,791.78 × 2,416.84
  4. Step 4: Simplify right side
    3,197.48x = 11,580,953.60
  5. Step 5: Solve for x
    x = 11,580,953.60/3,197.48
  6. Step 6: Final answer
    x = 3,621.91

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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.