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Finding the Fourth Proportional to 1,450.80, 2,004 and 1,172.88

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Solution

The fourth proportional to 1,450.80, 2,004 and 1,172.88 is: 1,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.80 : 2,004 = 1,172.88 : x
  2. Step 2: Convert to fraction form
    1,450.80/2,004 = 1,172.88/x
  3. Step 3: Cross multiply
    1,450.80x = 2,004 × 1,172.88
  4. Step 4: Simplify right side
    1,450.80x = 2,350,451.52
  5. Step 5: Solve for x
    x = 2,350,451.52/1,450.80
  6. Step 6: Final answer
    x = 1,620.11

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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.