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Finding the Fourth Proportional to 1,634.10, 2,450.55 and 853.47

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Solution

The fourth proportional to 1,634.10, 2,450.55 and 853.47 is: 1,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.10 : 2,450.55 = 853.47 : x
  2. Step 2: Convert to fraction form
    1,634.10/2,450.55 = 853.47/x
  3. Step 3: Cross multiply
    1,634.10x = 2,450.55 × 853.47
  4. Step 4: Simplify right side
    1,634.10x = 2,091,470.91
  5. Step 5: Solve for x
    x = 2,091,470.91/1,634.10
  6. Step 6: Final answer
    x = 1,279.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.