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Finding the Fourth Proportional to 2,493.16, 3,740.22 and 1,194.52

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Solution

The fourth proportional to 2,493.16, 3,740.22 and 1,194.52 is: 1,792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.16 : 3,740.22 = 1,194.52 : x
  2. Step 2: Convert to fraction form
    2,493.16/3,740.22 = 1,194.52/x
  3. Step 3: Cross multiply
    2,493.16x = 3,740.22 × 1,194.52
  4. Step 4: Simplify right side
    2,493.16x = 4,467,767.59
  5. Step 5: Solve for x
    x = 4,467,767.59/2,493.16
  6. Step 6: Final answer
    x = 1,792.01

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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.