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Finding the Fourth Proportional to 2,701.27, 3,727.74 and 1,522.30

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Solution

The fourth proportional to 2,701.27, 3,727.74 and 1,522.30 is: 2,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.27 : 3,727.74 = 1,522.30 : x
  2. Step 2: Convert to fraction form
    2,701.27/3,727.74 = 1,522.30/x
  3. Step 3: Cross multiply
    2,701.27x = 3,727.74 × 1,522.30
  4. Step 4: Simplify right side
    2,701.27x = 5,674,738.60
  5. Step 5: Solve for x
    x = 5,674,738.60/2,701.27
  6. Step 6: Final answer
    x = 2,100.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.