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Finding the Fourth Proportional to 2,492.27, 3,441.49 and 1,827.97

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Solution

The fourth proportional to 2,492.27, 3,441.49 and 1,827.97 is: 2,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.27 : 3,441.49 = 1,827.97 : x
  2. Step 2: Convert to fraction form
    2,492.27/3,441.49 = 1,827.97/x
  3. Step 3: Cross multiply
    2,492.27x = 3,441.49 × 1,827.97
  4. Step 4: Simplify right side
    2,492.27x = 6,290,927.30
  5. Step 5: Solve for x
    x = 6,290,927.30/2,492.27
  6. Step 6: Final answer
    x = 2,524.18

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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.