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Finding the Fourth Proportional to 1,949.79, 2,922.84 and 650.34

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Solution

The fourth proportional to 1,949.79, 2,922.84 and 650.34 is: 974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.79 : 2,922.84 = 650.34 : x
  2. Step 2: Convert to fraction form
    1,949.79/2,922.84 = 650.34/x
  3. Step 3: Cross multiply
    1,949.79x = 2,922.84 × 650.34
  4. Step 4: Simplify right side
    1,949.79x = 1,900,839.77
  5. Step 5: Solve for x
    x = 1,900,839.77/1,949.79
  6. Step 6: Final answer
    x = 974.89

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1.5x scale

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.