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Finding the Fourth Proportional to 2,534.78, 3,796.08 and 1,492.31

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Solution

The fourth proportional to 2,534.78, 3,796.08 and 1,492.31 is: 2,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.78 : 3,796.08 = 1,492.31 : x
  2. Step 2: Convert to fraction form
    2,534.78/3,796.08 = 1,492.31/x
  3. Step 3: Cross multiply
    2,534.78x = 3,796.08 × 1,492.31
  4. Step 4: Simplify right side
    2,534.78x = 5,664,909.16
  5. Step 5: Solve for x
    x = 5,664,909.16/2,534.78
  6. Step 6: Final answer
    x = 2,234.88

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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.