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Finding the Fourth Proportional to 3,197.12, 4,794.98 and 1,005.33

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Solution

The fourth proportional to 3,197.12, 4,794.98 and 1,005.33 is: 1,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.12 : 4,794.98 = 1,005.33 : x
  2. Step 2: Convert to fraction form
    3,197.12/4,794.98 = 1,005.33/x
  3. Step 3: Cross multiply
    3,197.12x = 4,794.98 × 1,005.33
  4. Step 4: Simplify right side
    3,197.12x = 4,820,539.76
  5. Step 5: Solve for x
    x = 4,820,539.76/3,197.12
  6. Step 6: Final answer
    x = 1,507.78

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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.