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Finding the Fourth Proportional to 2,682.30, 4,020.71 and 949.71

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Solution

The fourth proportional to 2,682.30, 4,020.71 and 949.71 is: 1,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.30 : 4,020.71 = 949.71 : x
  2. Step 2: Convert to fraction form
    2,682.30/4,020.71 = 949.71/x
  3. Step 3: Cross multiply
    2,682.30x = 4,020.71 × 949.71
  4. Step 4: Simplify right side
    2,682.30x = 3,818,503.75
  5. Step 5: Solve for x
    x = 3,818,503.75/2,682.30
  6. Step 6: Final answer
    x = 1,423.59

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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.