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Finding the Fourth Proportional to 1,662.23, 2,494.22 and 1,271.99

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Solution

The fourth proportional to 1,662.23, 2,494.22 and 1,271.99 is: 1,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.23 : 2,494.22 = 1,271.99 : x
  2. Step 2: Convert to fraction form
    1,662.23/2,494.22 = 1,271.99/x
  3. Step 3: Cross multiply
    1,662.23x = 2,494.22 × 1,271.99
  4. Step 4: Simplify right side
    1,662.23x = 3,172,604.07
  5. Step 5: Solve for x
    x = 3,172,604.07/1,662.23
  6. Step 6: Final answer
    x = 1,908.65

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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.