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Finding the Fourth Proportional to 2,195.04, 3,029.04 and 1,200.27

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Solution

The fourth proportional to 2,195.04, 3,029.04 and 1,200.27 is: 1,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.04 : 3,029.04 = 1,200.27 : x
  2. Step 2: Convert to fraction form
    2,195.04/3,029.04 = 1,200.27/x
  3. Step 3: Cross multiply
    2,195.04x = 3,029.04 × 1,200.27
  4. Step 4: Simplify right side
    2,195.04x = 3,635,665.84
  5. Step 5: Solve for x
    x = 3,635,665.84/2,195.04
  6. Step 6: Final answer
    x = 1,656.31

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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.