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Finding the Fourth Proportional to 2,828.01, 4,241.97 and 853.61

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Solution

The fourth proportional to 2,828.01, 4,241.97 and 853.61 is: 1,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.01 : 4,241.97 = 853.61 : x
  2. Step 2: Convert to fraction form
    2,828.01/4,241.97 = 853.61/x
  3. Step 3: Cross multiply
    2,828.01x = 4,241.97 × 853.61
  4. Step 4: Simplify right side
    2,828.01x = 3,620,966.80
  5. Step 5: Solve for x
    x = 3,620,966.80/2,828.01
  6. Step 6: Final answer
    x = 1,280.39

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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.