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Finding the Fourth Proportional to 3,197.42, 4,796.60 and 1,005.42

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Solution

The fourth proportional to 3,197.42, 4,796.60 and 1,005.42 is: 1,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.42 : 4,796.60 = 1,005.42 : x
  2. Step 2: Convert to fraction form
    3,197.42/4,796.60 = 1,005.42/x
  3. Step 3: Cross multiply
    3,197.42x = 4,796.60 × 1,005.42
  4. Step 4: Simplify right side
    3,197.42x = 4,822,597.57
  5. Step 5: Solve for x
    x = 4,822,597.57/3,197.42
  6. Step 6: Final answer
    x = 1,508.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.