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Finding the Fourth Proportional to 2,734.67, 3,773.76 and 1,492.67

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Solution

The fourth proportional to 2,734.67, 3,773.76 and 1,492.67 is: 2,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.67 : 3,773.76 = 1,492.67 : x
  2. Step 2: Convert to fraction form
    2,734.67/3,773.76 = 1,492.67/x
  3. Step 3: Cross multiply
    2,734.67x = 3,773.76 × 1,492.67
  4. Step 4: Simplify right side
    2,734.67x = 5,632,978.34
  5. Step 5: Solve for x
    x = 5,632,978.34/2,734.67
  6. Step 6: Final answer
    x = 2,059.84

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