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Finding the Fourth Proportional to 1,996.96, 2,756.92 and 1,324.84

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Solution

The fourth proportional to 1,996.96, 2,756.92 and 1,324.84 is: 1,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.96 : 2,756.92 = 1,324.84 : x
  2. Step 2: Convert to fraction form
    1,996.96/2,756.92 = 1,324.84/x
  3. Step 3: Cross multiply
    1,996.96x = 2,756.92 × 1,324.84
  4. Step 4: Simplify right side
    1,996.96x = 3,652,477.89
  5. Step 5: Solve for x
    x = 3,652,477.89/1,996.96
  6. Step 6: Final answer
    x = 1,829.02

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1.5x scale

Why These Related Problems?

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