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Finding the Fourth Proportional to 1,422.76, 2,133.96 and 1,180.84

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Solution

The fourth proportional to 1,422.76, 2,133.96 and 1,180.84 is: 1,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.76 : 2,133.96 = 1,180.84 : x
  2. Step 2: Convert to fraction form
    1,422.76/2,133.96 = 1,180.84/x
  3. Step 3: Cross multiply
    1,422.76x = 2,133.96 × 1,180.84
  4. Step 4: Simplify right side
    1,422.76x = 2,519,865.33
  5. Step 5: Solve for x
    x = 2,519,865.33/1,422.76
  6. Step 6: Final answer
    x = 1,771.11

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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.