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Finding the Fourth Proportional to 2,890.69, 4,336.23 and 1,159.31

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Solution

The fourth proportional to 2,890.69, 4,336.23 and 1,159.31 is: 1,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.69 : 4,336.23 = 1,159.31 : x
  2. Step 2: Convert to fraction form
    2,890.69/4,336.23 = 1,159.31/x
  3. Step 3: Cross multiply
    2,890.69x = 4,336.23 × 1,159.31
  4. Step 4: Simplify right side
    2,890.69x = 5,027,049.99
  5. Step 5: Solve for x
    x = 5,027,049.99/2,890.69
  6. Step 6: Final answer
    x = 1,739.05

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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.