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Finding the Fourth Proportional to 1,922.92, 2,884.38 and 462.07

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Solution

The fourth proportional to 1,922.92, 2,884.38 and 462.07 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.92 : 2,884.38 = 462.07 : x
  2. Step 2: Convert to fraction form
    1,922.92/2,884.38 = 462.07/x
  3. Step 3: Cross multiply
    1,922.92x = 2,884.38 × 462.07
  4. Step 4: Simplify right side
    1,922.92x = 1,332,778.26
  5. Step 5: Solve for x
    x = 1,332,778.26/1,922.92
  6. Step 6: Final answer
    x = 693.10

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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.