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Finding the Fourth Proportional to 2,072.86, 3,106.56 and 1,522.48

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Solution

The fourth proportional to 2,072.86, 3,106.56 and 1,522.48 is: 2,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.86 : 3,106.56 = 1,522.48 : x
  2. Step 2: Convert to fraction form
    2,072.86/3,106.56 = 1,522.48/x
  3. Step 3: Cross multiply
    2,072.86x = 3,106.56 × 1,522.48
  4. Step 4: Simplify right side
    2,072.86x = 4,729,675.47
  5. Step 5: Solve for x
    x = 4,729,675.47/2,072.86
  6. Step 6: Final answer
    x = 2,281.71

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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.