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Finding the Fourth Proportional to 2,054.20, 3,081.70 and 884.20

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Solution

The fourth proportional to 2,054.20, 3,081.70 and 884.20 is: 1,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.20 : 3,081.70 = 884.20 : x
  2. Step 2: Convert to fraction form
    2,054.20/3,081.70 = 884.20/x
  3. Step 3: Cross multiply
    2,054.20x = 3,081.70 × 884.20
  4. Step 4: Simplify right side
    2,054.20x = 2,724,839.14
  5. Step 5: Solve for x
    x = 2,724,839.14/2,054.20
  6. Step 6: Final answer
    x = 1,326.47

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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.