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Finding the Fourth Proportional to 2,194.01, 3,029.78 and 1,409.43

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Solution

The fourth proportional to 2,194.01, 3,029.78 and 1,409.43 is: 1,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.01 : 3,029.78 = 1,409.43 : x
  2. Step 2: Convert to fraction form
    2,194.01/3,029.78 = 1,409.43/x
  3. Step 3: Cross multiply
    2,194.01x = 3,029.78 × 1,409.43
  4. Step 4: Simplify right side
    2,194.01x = 4,270,262.83
  5. Step 5: Solve for x
    x = 4,270,262.83/2,194.01
  6. Step 6: Final answer
    x = 1,946.33

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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.