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Finding the Fourth Proportional to 2,188.44, 3,020.08 and 1,193.74

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Solution

The fourth proportional to 2,188.44, 3,020.08 and 1,193.74 is: 1,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.44 : 3,020.08 = 1,193.74 : x
  2. Step 2: Convert to fraction form
    2,188.44/3,020.08 = 1,193.74/x
  3. Step 3: Cross multiply
    2,188.44x = 3,020.08 × 1,193.74
  4. Step 4: Simplify right side
    2,188.44x = 3,605,190.30
  5. Step 5: Solve for x
    x = 3,605,190.30/2,188.44
  6. Step 6: Final answer
    x = 1,647.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.