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Finding the Fourth Proportional to 1,682.75, 2,527.77 and 1,423.27

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Solution

The fourth proportional to 1,682.75, 2,527.77 and 1,423.27 is: 2,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.75 : 2,527.77 = 1,423.27 : x
  2. Step 2: Convert to fraction form
    1,682.75/2,527.77 = 1,423.27/x
  3. Step 3: Cross multiply
    1,682.75x = 2,527.77 × 1,423.27
  4. Step 4: Simplify right side
    1,682.75x = 3,597,707.70
  5. Step 5: Solve for x
    x = 3,597,707.70/1,682.75
  6. Step 6: Final answer
    x = 2,137.99

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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.