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Finding the Fourth Proportional to 1,921.24, 2,881.98 and 622.84

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Solution

The fourth proportional to 1,921.24, 2,881.98 and 622.84 is: 934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.24 : 2,881.98 = 622.84 : x
  2. Step 2: Convert to fraction form
    1,921.24/2,881.98 = 622.84/x
  3. Step 3: Cross multiply
    1,921.24x = 2,881.98 × 622.84
  4. Step 4: Simplify right side
    1,921.24x = 1,795,012.42
  5. Step 5: Solve for x
    x = 1,795,012.42/1,921.24
  6. Step 6: Final answer
    x = 934.30

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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.