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Finding the Fourth Proportional to 3,196.47, 4,794.30 and 1,348.32

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Solution

The fourth proportional to 3,196.47, 4,794.30 and 1,348.32 is: 2,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.47 : 4,794.30 = 1,348.32 : x
  2. Step 2: Convert to fraction form
    3,196.47/4,794.30 = 1,348.32/x
  3. Step 3: Cross multiply
    3,196.47x = 4,794.30 × 1,348.32
  4. Step 4: Simplify right side
    3,196.47x = 6,464,250.58
  5. Step 5: Solve for x
    x = 6,464,250.58/3,196.47
  6. Step 6: Final answer
    x = 2,022.31

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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.