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Finding the Fourth Proportional to 1,450.80, 1,999.33 and 1,424.14

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Solution

The fourth proportional to 1,450.80, 1,999.33 and 1,424.14 is: 1,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.80 : 1,999.33 = 1,424.14 : x
  2. Step 2: Convert to fraction form
    1,450.80/1,999.33 = 1,424.14/x
  3. Step 3: Cross multiply
    1,450.80x = 1,999.33 × 1,424.14
  4. Step 4: Simplify right side
    1,450.80x = 2,847,325.83
  5. Step 5: Solve for x
    x = 2,847,325.83/1,450.80
  6. Step 6: Final answer
    x = 1,962.59

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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.