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Finding the Fourth Proportional to 2,492.27, 3,738.86 and 849.29

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Solution

The fourth proportional to 2,492.27, 3,738.86 and 849.29 is: 1,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.27 : 3,738.86 = 849.29 : x
  2. Step 2: Convert to fraction form
    2,492.27/3,738.86 = 849.29/x
  3. Step 3: Cross multiply
    2,492.27x = 3,738.86 × 849.29
  4. Step 4: Simplify right side
    2,492.27x = 3,175,356.65
  5. Step 5: Solve for x
    x = 3,175,356.65/2,492.27
  6. Step 6: Final answer
    x = 1,274.08

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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.