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Finding the Fourth Proportional to 1,476.73, 2,024.68 and 1,450.41

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Solution

The fourth proportional to 1,476.73, 2,024.68 and 1,450.41 is: 1,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.73 : 2,024.68 = 1,450.41 : x
  2. Step 2: Convert to fraction form
    1,476.73/2,024.68 = 1,450.41/x
  3. Step 3: Cross multiply
    1,476.73x = 2,024.68 × 1,450.41
  4. Step 4: Simplify right side
    1,476.73x = 2,936,616.12
  5. Step 5: Solve for x
    x = 2,936,616.12/1,476.73
  6. Step 6: Final answer
    x = 1,988.59

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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.