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Finding the Fourth Proportional to 2,800.69, 4,201.58 and 852.73

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Solution

The fourth proportional to 2,800.69, 4,201.58 and 852.73 is: 1,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.69 : 4,201.58 = 852.73 : x
  2. Step 2: Convert to fraction form
    2,800.69/4,201.58 = 852.73/x
  3. Step 3: Cross multiply
    2,800.69x = 4,201.58 × 852.73
  4. Step 4: Simplify right side
    2,800.69x = 3,582,809.05
  5. Step 5: Solve for x
    x = 3,582,809.05/2,800.69
  6. Step 6: Final answer
    x = 1,279.26

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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.