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Finding the Fourth Proportional to 3,197.15, 4,796.34 and 1,005.29

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Solution

The fourth proportional to 3,197.15, 4,796.34 and 1,005.29 is: 1,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.15 : 4,796.34 = 1,005.29 : x
  2. Step 2: Convert to fraction form
    3,197.15/4,796.34 = 1,005.29/x
  3. Step 3: Cross multiply
    3,197.15x = 4,796.34 × 1,005.29
  4. Step 4: Simplify right side
    3,197.15x = 4,821,724.63
  5. Step 5: Solve for x
    x = 4,821,724.63/3,197.15
  6. Step 6: Final answer
    x = 1,508.13

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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.