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Finding the Fourth Proportional to 2,255.69, 3,112.71 and 1,260.75

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Solution

The fourth proportional to 2,255.69, 3,112.71 and 1,260.75 is: 1,739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.69 : 3,112.71 = 1,260.75 : x
  2. Step 2: Convert to fraction form
    2,255.69/3,112.71 = 1,260.75/x
  3. Step 3: Cross multiply
    2,255.69x = 3,112.71 × 1,260.75
  4. Step 4: Simplify right side
    2,255.69x = 3,924,349.13
  5. Step 5: Solve for x
    x = 3,924,349.13/2,255.69
  6. Step 6: Final answer
    x = 1,739.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.