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Finding the Fourth Proportional to 3,189.47, 4,783.88 and 998.21

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Solution

The fourth proportional to 3,189.47, 4,783.88 and 998.21 is: 1,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.47 : 4,783.88 = 998.21 : x
  2. Step 2: Convert to fraction form
    3,189.47/4,783.88 = 998.21/x
  3. Step 3: Cross multiply
    3,189.47x = 4,783.88 × 998.21
  4. Step 4: Simplify right side
    3,189.47x = 4,775,331.31
  5. Step 5: Solve for x
    x = 4,775,331.31/3,189.47
  6. Step 6: Final answer
    x = 1,497.22

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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.