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Finding the Fourth Proportional to 2,289.98, 3,436.78 and 1,194.68

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Solution

The fourth proportional to 2,289.98, 3,436.78 and 1,194.68 is: 1,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.98 : 3,436.78 = 1,194.68 : x
  2. Step 2: Convert to fraction form
    2,289.98/3,436.78 = 1,194.68/x
  3. Step 3: Cross multiply
    2,289.98x = 3,436.78 × 1,194.68
  4. Step 4: Simplify right side
    2,289.98x = 4,105,852.33
  5. Step 5: Solve for x
    x = 4,105,852.33/2,289.98
  6. Step 6: Final answer
    x = 1,792.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.