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Finding the Fourth Proportional to 2,492.56, 3,737.79 and 849.21

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Solution

The fourth proportional to 2,492.56, 3,737.79 and 849.21 is: 1,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.56 : 3,737.79 = 849.21 : x
  2. Step 2: Convert to fraction form
    2,492.56/3,737.79 = 849.21/x
  3. Step 3: Cross multiply
    2,492.56x = 3,737.79 × 849.21
  4. Step 4: Simplify right side
    2,492.56x = 3,174,168.65
  5. Step 5: Solve for x
    x = 3,174,168.65/2,492.56
  6. Step 6: Final answer
    x = 1,273.46

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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.