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Finding the Fourth Proportional to 3,189.68, 4,784.84 and 998.08

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Solution

The fourth proportional to 3,189.68, 4,784.84 and 998.08 is: 1,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.68 : 4,784.84 = 998.08 : x
  2. Step 2: Convert to fraction form
    3,189.68/4,784.84 = 998.08/x
  3. Step 3: Cross multiply
    3,189.68x = 4,784.84 × 998.08
  4. Step 4: Simplify right side
    3,189.68x = 4,775,653.11
  5. Step 5: Solve for x
    x = 4,775,653.11/3,189.68
  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.