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Finding the Fourth Proportional to 3,196.44, 4,407.93 and 2,133.99

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Solution

The fourth proportional to 3,196.44, 4,407.93 and 2,133.99 is: 2,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.44 : 4,407.93 = 2,133.99 : x
  2. Step 2: Convert to fraction form
    3,196.44/4,407.93 = 2,133.99/x
  3. Step 3: Cross multiply
    3,196.44x = 4,407.93 × 2,133.99
  4. Step 4: Simplify right side
    3,196.44x = 9,406,478.54
  5. Step 5: Solve for x
    x = 9,406,478.54/3,196.44
  6. Step 6: Final answer
    x = 2,942.80

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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.