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Finding the Fourth Proportional to 3,274.77, 4,912.74 and 1,085.07

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Solution

The fourth proportional to 3,274.77, 4,912.74 and 1,085.07 is: 1,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.77 : 4,912.74 = 1,085.07 : x
  2. Step 2: Convert to fraction form
    3,274.77/4,912.74 = 1,085.07/x
  3. Step 3: Cross multiply
    3,274.77x = 4,912.74 × 1,085.07
  4. Step 4: Simplify right side
    3,274.77x = 5,330,666.79
  5. Step 5: Solve for x
    x = 5,330,666.79/3,274.77
  6. Step 6: Final answer
    x = 1,627.80

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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.