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Finding the Fourth Proportional to 2,493.56, 3,740.37 and 1,194.74

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Solution

The fourth proportional to 2,493.56, 3,740.37 and 1,194.74 is: 1,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.56 : 3,740.37 = 1,194.74 : x
  2. Step 2: Convert to fraction form
    2,493.56/3,740.37 = 1,194.74/x
  3. Step 3: Cross multiply
    2,493.56x = 3,740.37 × 1,194.74
  4. Step 4: Simplify right side
    2,493.56x = 4,468,769.65
  5. Step 5: Solve for x
    x = 4,468,769.65/2,493.56
  6. Step 6: Final answer
    x = 1,792.12

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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.