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Finding the Fourth Proportional to 2,492.15, 3,732.69 and 1,611.82

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Solution

The fourth proportional to 2,492.15, 3,732.69 and 1,611.82 is: 2,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.15 : 3,732.69 = 1,611.82 : x
  2. Step 2: Convert to fraction form
    2,492.15/3,732.69 = 1,611.82/x
  3. Step 3: Cross multiply
    2,492.15x = 3,732.69 × 1,611.82
  4. Step 4: Simplify right side
    2,492.15x = 6,016,405.73
  5. Step 5: Solve for x
    x = 6,016,405.73/2,492.15
  6. Step 6: Final answer
    x = 2,414.14

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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.