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Finding the Fourth Proportional to 2,739.63, 4,112 and 1,259.65

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Solution

The fourth proportional to 2,739.63, 4,112 and 1,259.65 is: 1,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.63 : 4,112 = 1,259.65 : x
  2. Step 2: Convert to fraction form
    2,739.63/4,112 = 1,259.65/x
  3. Step 3: Cross multiply
    2,739.63x = 4,112 × 1,259.65
  4. Step 4: Simplify right side
    2,739.63x = 5,179,680.80
  5. Step 5: Solve for x
    x = 5,179,680.80/2,739.63
  6. Step 6: Final answer
    x = 1,890.65

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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.