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Finding the Fourth Proportional to 3,191.54, 4,790.54 and 2,021.90

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Solution

The fourth proportional to 3,191.54, 4,790.54 and 2,021.90 is: 3,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.54 : 4,790.54 = 2,021.90 : x
  2. Step 2: Convert to fraction form
    3,191.54/4,790.54 = 2,021.90/x
  3. Step 3: Cross multiply
    3,191.54x = 4,790.54 × 2,021.90
  4. Step 4: Simplify right side
    3,191.54x = 9,685,973.93
  5. Step 5: Solve for x
    x = 9,685,973.93/3,191.54
  6. Step 6: Final answer
    x = 3,034.90

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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.