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Finding the Fourth Proportional to 2,809.89, 4,214.23 and 961.07

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Solution

The fourth proportional to 2,809.89, 4,214.23 and 961.07 is: 1,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.89 : 4,214.23 = 961.07 : x
  2. Step 2: Convert to fraction form
    2,809.89/4,214.23 = 961.07/x
  3. Step 3: Cross multiply
    2,809.89x = 4,214.23 × 961.07
  4. Step 4: Simplify right side
    2,809.89x = 4,050,146.55
  5. Step 5: Solve for x
    x = 4,050,146.55/2,809.89
  6. Step 6: Final answer
    x = 1,441.39

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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.