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Finding the Fourth Proportional to 2,534.75, 3,794.02 and 1,492.28

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Solution

The fourth proportional to 2,534.75, 3,794.02 and 1,492.28 is: 2,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.75 : 3,794.02 = 1,492.28 : x
  2. Step 2: Convert to fraction form
    2,534.75/3,794.02 = 1,492.28/x
  3. Step 3: Cross multiply
    2,534.75x = 3,794.02 × 1,492.28
  4. Step 4: Simplify right side
    2,534.75x = 5,661,713.73
  5. Step 5: Solve for x
    x = 5,661,713.73/2,534.75
  6. Step 6: Final answer
    x = 2,233.64

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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.