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Finding the Fourth Proportional to 1,475.73, 2,023.31 and 1,449.41

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Solution

The fourth proportional to 1,475.73, 2,023.31 and 1,449.41 is: 1,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.73 : 2,023.31 = 1,449.41 : x
  2. Step 2: Convert to fraction form
    1,475.73/2,023.31 = 1,449.41/x
  3. Step 3: Cross multiply
    1,475.73x = 2,023.31 × 1,449.41
  4. Step 4: Simplify right side
    1,475.73x = 2,932,588.38
  5. Step 5: Solve for x
    x = 2,932,588.38/1,475.73
  6. Step 6: Final answer
    x = 1,987.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.