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Finding the Fourth Proportional to 1,422.72, 1,964.31 and 1,090.56

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Solution

The fourth proportional to 1,422.72, 1,964.31 and 1,090.56 is: 1,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.72 : 1,964.31 = 1,090.56 : x
  2. Step 2: Convert to fraction form
    1,422.72/1,964.31 = 1,090.56/x
  3. Step 3: Cross multiply
    1,422.72x = 1,964.31 × 1,090.56
  4. Step 4: Simplify right side
    1,422.72x = 2,142,197.91
  5. Step 5: Solve for x
    x = 2,142,197.91/1,422.72
  6. Step 6: Final answer
    x = 1,505.71

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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.