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Finding the Fourth Proportional to 1,474.73, 2,021.93 and 1,448.40

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Solution

The fourth proportional to 1,474.73, 2,021.93 and 1,448.40 is: 1,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.73 : 2,021.93 = 1,448.40 : x
  2. Step 2: Convert to fraction form
    1,474.73/2,021.93 = 1,448.40/x
  3. Step 3: Cross multiply
    1,474.73x = 2,021.93 × 1,448.40
  4. Step 4: Simplify right side
    1,474.73x = 2,928,563.41
  5. Step 5: Solve for x
    x = 2,928,563.41/1,474.73
  6. Step 6: Final answer
    x = 1,985.84

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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.