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Finding the Fourth Proportional to 2,194.86, 3,028.88 and 1,200.14

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Solution

The fourth proportional to 2,194.86, 3,028.88 and 1,200.14 is: 1,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.86 : 3,028.88 = 1,200.14 : x
  2. Step 2: Convert to fraction form
    2,194.86/3,028.88 = 1,200.14/x
  3. Step 3: Cross multiply
    2,194.86x = 3,028.88 × 1,200.14
  4. Step 4: Simplify right side
    2,194.86x = 3,635,080.04
  5. Step 5: Solve for x
    x = 3,635,080.04/2,194.86
  6. Step 6: Final answer
    x = 1,656.18

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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.