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Finding the Fourth Proportional to 2,024.38, 3,034.08 and 853.93

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Solution

The fourth proportional to 2,024.38, 3,034.08 and 853.93 is: 1,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.38 : 3,034.08 = 853.93 : x
  2. Step 2: Convert to fraction form
    2,024.38/3,034.08 = 853.93/x
  3. Step 3: Cross multiply
    2,024.38x = 3,034.08 × 853.93
  4. Step 4: Simplify right side
    2,024.38x = 2,590,891.93
  5. Step 5: Solve for x
    x = 2,590,891.93/2,024.38
  6. Step 6: Final answer
    x = 1,279.84

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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.