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Finding the Fourth Proportional to 2,057.80, 3,093.90 and 2,014.60

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Solution

The fourth proportional to 2,057.80, 3,093.90 and 2,014.60 is: 3,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.80 : 3,093.90 = 2,014.60 : x
  2. Step 2: Convert to fraction form
    2,057.80/3,093.90 = 2,014.60/x
  3. Step 3: Cross multiply
    2,057.80x = 3,093.90 × 2,014.60
  4. Step 4: Simplify right side
    2,057.80x = 6,232,970.94
  5. Step 5: Solve for x
    x = 6,232,970.94/2,057.80
  6. Step 6: Final answer
    x = 3,028.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.