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Finding the Fourth Proportional to 1,974.50, 2,961.75 and 606.50

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Solution

The fourth proportional to 1,974.50, 2,961.75 and 606.50 is: 909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.50 : 2,961.75 = 606.50 : x
  2. Step 2: Convert to fraction form
    1,974.50/2,961.75 = 606.50/x
  3. Step 3: Cross multiply
    1,974.50x = 2,961.75 × 606.50
  4. Step 4: Simplify right side
    1,974.50x = 1,796,301.38
  5. Step 5: Solve for x
    x = 1,796,301.38/1,974.50
  6. Step 6: Final answer
    x = 909.75

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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.