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Finding the Fourth Proportional to 1,974.36, 2,958.71 and 1,450.25

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Solution

The fourth proportional to 1,974.36, 2,958.71 and 1,450.25 is: 2,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.36 : 2,958.71 = 1,450.25 : x
  2. Step 2: Convert to fraction form
    1,974.36/2,958.71 = 1,450.25/x
  3. Step 3: Cross multiply
    1,974.36x = 2,958.71 × 1,450.25
  4. Step 4: Simplify right side
    1,974.36x = 4,290,869.18
  5. Step 5: Solve for x
    x = 4,290,869.18/1,974.36
  6. Step 6: Final answer
    x = 2,173.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.