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Finding the Fourth Proportional to 3,196.44, 4,412.16 and 2,205

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Solution

The fourth proportional to 3,196.44, 4,412.16 and 2,205 is: 3,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.44 : 4,412.16 = 2,205 : x
  2. Step 2: Convert to fraction form
    3,196.44/4,412.16 = 2,205/x
  3. Step 3: Cross multiply
    3,196.44x = 4,412.16 × 2,205
  4. Step 4: Simplify right side
    3,196.44x = 9,728,812.80
  5. Step 5: Solve for x
    x = 9,728,812.80/3,196.44
  6. Step 6: Final answer
    x = 3,043.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.