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Finding the Fourth Proportional to 2,241.42, 3,359.76 and 853.86

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Solution

The fourth proportional to 2,241.42, 3,359.76 and 853.86 is: 1,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.42 : 3,359.76 = 853.86 : x
  2. Step 2: Convert to fraction form
    2,241.42/3,359.76 = 853.86/x
  3. Step 3: Cross multiply
    2,241.42x = 3,359.76 × 853.86
  4. Step 4: Simplify right side
    2,241.42x = 2,868,764.67
  5. Step 5: Solve for x
    x = 2,868,764.67/2,241.42
  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.