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Finding the Fourth Proportional to 2,773.23, 3,826.23 and 1,711.38

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Solution

The fourth proportional to 2,773.23, 3,826.23 and 1,711.38 is: 2,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.23 : 3,826.23 = 1,711.38 : x
  2. Step 2: Convert to fraction form
    2,773.23/3,826.23 = 1,711.38/x
  3. Step 3: Cross multiply
    2,773.23x = 3,826.23 × 1,711.38
  4. Step 4: Simplify right side
    2,773.23x = 6,548,133.50
  5. Step 5: Solve for x
    x = 6,548,133.50/2,773.23
  6. Step 6: Final answer
    x = 2,361.19

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1.5x scale

Why These Related Problems?

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