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Finding the Fourth Proportional to 2,023.72, 3,034.09 and 853.67

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Solution

The fourth proportional to 2,023.72, 3,034.09 and 853.67 is: 1,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.72 : 3,034.09 = 853.67 : x
  2. Step 2: Convert to fraction form
    2,023.72/3,034.09 = 853.67/x
  3. Step 3: Cross multiply
    2,023.72x = 3,034.09 × 853.67
  4. Step 4: Simplify right side
    2,023.72x = 2,590,107.34
  5. Step 5: Solve for x
    x = 2,590,107.34/2,023.72
  6. Step 6: Final answer
    x = 1,279.88

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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.