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Finding the Fourth Proportional to 3,189.86, 4,785.28 and 998.12

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Solution

The fourth proportional to 3,189.86, 4,785.28 and 998.12 is: 1,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.86 : 4,785.28 = 998.12 : x
  2. Step 2: Convert to fraction form
    3,189.86/4,785.28 = 998.12/x
  3. Step 3: Cross multiply
    3,189.86x = 4,785.28 × 998.12
  4. Step 4: Simplify right side
    3,189.86x = 4,776,283.67
  5. Step 5: Solve for x
    x = 4,776,283.67/3,189.86
  6. Step 6: Final answer
    x = 1,497.33

Related Problems

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Similar ratio
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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.