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Finding the Fourth Proportional to 2,982.68, 4,113.34 and 2,027.01

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Solution

The fourth proportional to 2,982.68, 4,113.34 and 2,027.01 is: 2,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.68 : 4,113.34 = 2,027.01 : x
  2. Step 2: Convert to fraction form
    2,982.68/4,113.34 = 2,027.01/x
  3. Step 3: Cross multiply
    2,982.68x = 4,113.34 × 2,027.01
  4. Step 4: Simplify right side
    2,982.68x = 8,337,797.26
  5. Step 5: Solve for x
    x = 8,337,797.26/2,982.68
  6. Step 6: Final answer
    x = 2,795.41

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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.