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Finding the Fourth Proportional to 1,780.56, 2,667.64 and 1,086.84

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Solution

The fourth proportional to 1,780.56, 2,667.64 and 1,086.84 is: 1,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.56 : 2,667.64 = 1,086.84 : x
  2. Step 2: Convert to fraction form
    1,780.56/2,667.64 = 1,086.84/x
  3. Step 3: Cross multiply
    1,780.56x = 2,667.64 × 1,086.84
  4. Step 4: Simplify right side
    1,780.56x = 2,899,297.86
  5. Step 5: Solve for x
    x = 2,899,297.86/1,780.56
  6. Step 6: Final answer
    x = 1,628.31

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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.