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Finding the Fourth Proportional to 2,841.99, 4,263.60 and 867.79

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Solution

The fourth proportional to 2,841.99, 4,263.60 and 867.79 is: 1,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.99 : 4,263.60 = 867.79 : x
  2. Step 2: Convert to fraction form
    2,841.99/4,263.60 = 867.79/x
  3. Step 3: Cross multiply
    2,841.99x = 4,263.60 × 867.79
  4. Step 4: Simplify right side
    2,841.99x = 3,699,909.44
  5. Step 5: Solve for x
    x = 3,699,909.44/2,841.99
  6. Step 6: Final answer
    x = 1,301.87

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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.