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Finding the Fourth Proportional to 2,048.97, 3,074.14 and 816.05

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Solution

The fourth proportional to 2,048.97, 3,074.14 and 816.05 is: 1,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.97 : 3,074.14 = 816.05 : x
  2. Step 2: Convert to fraction form
    2,048.97/3,074.14 = 816.05/x
  3. Step 3: Cross multiply
    2,048.97x = 3,074.14 × 816.05
  4. Step 4: Simplify right side
    2,048.97x = 2,508,651.95
  5. Step 5: Solve for x
    x = 2,508,651.95/2,048.97
  6. Step 6: Final answer
    x = 1,224.35

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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.