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Finding the Fourth Proportional to 3,197.16, 4,796.34 and 1,005.30

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Solution

The fourth proportional to 3,197.16, 4,796.34 and 1,005.30 is: 1,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.16 : 4,796.34 = 1,005.30 : x
  2. Step 2: Convert to fraction form
    3,197.16/4,796.34 = 1,005.30/x
  3. Step 3: Cross multiply
    3,197.16x = 4,796.34 × 1,005.30
  4. Step 4: Simplify right side
    3,197.16x = 4,821,760.60
  5. Step 5: Solve for x
    x = 4,821,760.60/3,197.16
  6. Step 6: Final answer
    x = 1,508.14

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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.