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Finding the Fourth Proportional to 3,193.80, 4,790.70 and 2,086.65

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Solution

The fourth proportional to 3,193.80, 4,790.70 and 2,086.65 is: 3,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.80 : 4,790.70 = 2,086.65 : x
  2. Step 2: Convert to fraction form
    3,193.80/4,790.70 = 2,086.65/x
  3. Step 3: Cross multiply
    3,193.80x = 4,790.70 × 2,086.65
  4. Step 4: Simplify right side
    3,193.80x = 9,996,514.16
  5. Step 5: Solve for x
    x = 9,996,514.16/3,193.80
  6. Step 6: Final answer
    x = 3,129.98

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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.