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Finding the Fourth Proportional to 3,189.96, 4,785.93 and 998.91

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Solution

The fourth proportional to 3,189.96, 4,785.93 and 998.91 is: 1,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.96 : 4,785.93 = 998.91 : x
  2. Step 2: Convert to fraction form
    3,189.96/4,785.93 = 998.91/x
  3. Step 3: Cross multiply
    3,189.96x = 4,785.93 × 998.91
  4. Step 4: Simplify right side
    3,189.96x = 4,780,713.34
  5. Step 5: Solve for x
    x = 4,780,713.34/3,189.96
  6. Step 6: Final answer
    x = 1,498.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.