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Finding the Fourth Proportional to 3,189.87, 4,785.36 and 998.04

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Solution

The fourth proportional to 3,189.87, 4,785.36 and 998.04 is: 1,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.87 : 4,785.36 = 998.04 : x
  2. Step 2: Convert to fraction form
    3,189.87/4,785.36 = 998.04/x
  3. Step 3: Cross multiply
    3,189.87x = 4,785.36 × 998.04
  4. Step 4: Simplify right side
    3,189.87x = 4,775,980.69
  5. Step 5: Solve for x
    x = 4,775,980.69/3,189.87
  6. Step 6: Final answer
    x = 1,497.23

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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.