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Finding the Fourth Proportional to 2,260.56, 3,119.07 and 1,364.44

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Solution

The fourth proportional to 2,260.56, 3,119.07 and 1,364.44 is: 1,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.56 : 3,119.07 = 1,364.44 : x
  2. Step 2: Convert to fraction form
    2,260.56/3,119.07 = 1,364.44/x
  3. Step 3: Cross multiply
    2,260.56x = 3,119.07 × 1,364.44
  4. Step 4: Simplify right side
    2,260.56x = 4,255,786.49
  5. Step 5: Solve for x
    x = 4,255,786.49/2,260.56
  6. Step 6: Final answer
    x = 1,882.63

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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.