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Finding the Fourth Proportional to 2,188.94, 3,020.68 and 1,194.22

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Solution

The fourth proportional to 2,188.94, 3,020.68 and 1,194.22 is: 1,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.94 : 3,020.68 = 1,194.22 : x
  2. Step 2: Convert to fraction form
    2,188.94/3,020.68 = 1,194.22/x
  3. Step 3: Cross multiply
    2,188.94x = 3,020.68 × 1,194.22
  4. Step 4: Simplify right side
    2,188.94x = 3,607,367.01
  5. Step 5: Solve for x
    x = 3,607,367.01/2,188.94
  6. Step 6: Final answer
    x = 1,648.00

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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.