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Finding the Fourth Proportional to 2,188.96, 3,020.72 and 1,194.21

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Solution

The fourth proportional to 2,188.96, 3,020.72 and 1,194.21 is: 1,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.96 : 3,020.72 = 1,194.21 : x
  2. Step 2: Convert to fraction form
    2,188.96/3,020.72 = 1,194.21/x
  3. Step 3: Cross multiply
    2,188.96x = 3,020.72 × 1,194.21
  4. Step 4: Simplify right side
    2,188.96x = 3,607,363.49
  5. Step 5: Solve for x
    x = 3,607,363.49/2,188.96
  6. Step 6: Final answer
    x = 1,647.98

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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.