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Finding the Fourth Proportional to 2,065.99, 3,080.60 and 2,040.49

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Solution

The fourth proportional to 2,065.99, 3,080.60 and 2,040.49 is: 3,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.99 : 3,080.60 = 2,040.49 : x
  2. Step 2: Convert to fraction form
    2,065.99/3,080.60 = 2,040.49/x
  3. Step 3: Cross multiply
    2,065.99x = 3,080.60 × 2,040.49
  4. Step 4: Simplify right side
    2,065.99x = 6,285,933.49
  5. Step 5: Solve for x
    x = 6,285,933.49/2,065.99
  6. Step 6: Final answer
    x = 3,042.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.