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Finding the Fourth Proportional to 2,195.05, 3,029.12 and 1,200.33

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Solution

The fourth proportional to 2,195.05, 3,029.12 and 1,200.33 is: 1,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.05 : 3,029.12 = 1,200.33 : x
  2. Step 2: Convert to fraction form
    2,195.05/3,029.12 = 1,200.33/x
  3. Step 3: Cross multiply
    2,195.05x = 3,029.12 × 1,200.33
  4. Step 4: Simplify right side
    2,195.05x = 3,635,943.61
  5. Step 5: Solve for x
    x = 3,635,943.61/2,195.05
  6. Step 6: Final answer
    x = 1,656.43

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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.