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Finding the Fourth Proportional to 1,996.54, 2,756.71 and 1,211.65

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Solution

The fourth proportional to 1,996.54, 2,756.71 and 1,211.65 is: 1,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.54 : 2,756.71 = 1,211.65 : x
  2. Step 2: Convert to fraction form
    1,996.54/2,756.71 = 1,211.65/x
  3. Step 3: Cross multiply
    1,996.54x = 2,756.71 × 1,211.65
  4. Step 4: Simplify right side
    1,996.54x = 3,340,167.67
  5. Step 5: Solve for x
    x = 3,340,167.67/1,996.54
  6. Step 6: Final answer
    x = 1,672.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.