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Finding the Fourth Proportional to 1,776.43, 2,661.26 and 1,081.05

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Solution

The fourth proportional to 1,776.43, 2,661.26 and 1,081.05 is: 1,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.43 : 2,661.26 = 1,081.05 : x
  2. Step 2: Convert to fraction form
    1,776.43/2,661.26 = 1,081.05/x
  3. Step 3: Cross multiply
    1,776.43x = 2,661.26 × 1,081.05
  4. Step 4: Simplify right side
    1,776.43x = 2,876,939.74
  5. Step 5: Solve for x
    x = 2,876,939.74/1,776.43
  6. Step 6: Final answer
    x = 1,619.51

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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.