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Finding the Fourth Proportional to 2,057.56, 2,817.53 and 1,974.92

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Solution

The fourth proportional to 2,057.56, 2,817.53 and 1,974.92 is: 2,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.56 : 2,817.53 = 1,974.92 : x
  2. Step 2: Convert to fraction form
    2,057.56/2,817.53 = 1,974.92/x
  3. Step 3: Cross multiply
    2,057.56x = 2,817.53 × 1,974.92
  4. Step 4: Simplify right side
    2,057.56x = 5,564,396.35
  5. Step 5: Solve for x
    x = 5,564,396.35/2,057.56
  6. Step 6: Final answer
    x = 2,704.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.