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Finding the Fourth Proportional to 2,492.51, 3,738.42 and 1,322

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Solution

The fourth proportional to 2,492.51, 3,738.42 and 1,322 is: 1,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.51 : 3,738.42 = 1,322 : x
  2. Step 2: Convert to fraction form
    2,492.51/3,738.42 = 1,322/x
  3. Step 3: Cross multiply
    2,492.51x = 3,738.42 × 1,322
  4. Step 4: Simplify right side
    2,492.51x = 4,942,191.24
  5. Step 5: Solve for x
    x = 4,942,191.24/2,492.51
  6. Step 6: Final answer
    x = 1,982.82

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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.