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Finding the Fourth Proportional to 2,492.56, 3,737.01 and 1,194.94

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Solution

The fourth proportional to 2,492.56, 3,737.01 and 1,194.94 is: 1,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.56 : 3,737.01 = 1,194.94 : x
  2. Step 2: Convert to fraction form
    2,492.56/3,737.01 = 1,194.94/x
  3. Step 3: Cross multiply
    2,492.56x = 3,737.01 × 1,194.94
  4. Step 4: Simplify right side
    2,492.56x = 4,465,502.73
  5. Step 5: Solve for x
    x = 4,465,502.73/2,492.56
  6. Step 6: Final answer
    x = 1,791.53

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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.