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Finding the Fourth Proportional to 1,996.61, 2,993.27 and 1,381.50

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Solution

The fourth proportional to 1,996.61, 2,993.27 and 1,381.50 is: 2,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.61 : 2,993.27 = 1,381.50 : x
  2. Step 2: Convert to fraction form
    1,996.61/2,993.27 = 1,381.50/x
  3. Step 3: Cross multiply
    1,996.61x = 2,993.27 × 1,381.50
  4. Step 4: Simplify right side
    1,996.61x = 4,135,195.60
  5. Step 5: Solve for x
    x = 4,135,195.60/1,996.61
  6. Step 6: Final answer
    x = 2,071.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.