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Finding the Fourth Proportional to 2,191.68, 3,285.90 and 1,020.69

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Solution

The fourth proportional to 2,191.68, 3,285.90 and 1,020.69 is: 1,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.68 : 3,285.90 = 1,020.69 : x
  2. Step 2: Convert to fraction form
    2,191.68/3,285.90 = 1,020.69/x
  3. Step 3: Cross multiply
    2,191.68x = 3,285.90 × 1,020.69
  4. Step 4: Simplify right side
    2,191.68x = 3,353,885.27
  5. Step 5: Solve for x
    x = 3,353,885.27/2,191.68
  6. Step 6: Final answer
    x = 1,530.28

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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.