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Finding the Fourth Proportional to 2,023.27, 3,034.11 and 853.22

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Solution

The fourth proportional to 2,023.27, 3,034.11 and 853.22 is: 1,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.27 : 3,034.11 = 853.22 : x
  2. Step 2: Convert to fraction form
    2,023.27/3,034.11 = 853.22/x
  3. Step 3: Cross multiply
    2,023.27x = 3,034.11 × 853.22
  4. Step 4: Simplify right side
    2,023.27x = 2,588,763.33
  5. Step 5: Solve for x
    x = 2,588,763.33/2,023.27
  6. Step 6: Final answer
    x = 1,279.49

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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.