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Finding the Fourth Proportional to 1,997.92, 2,757.14 and 1,113.76

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Solution

The fourth proportional to 1,997.92, 2,757.14 and 1,113.76 is: 1,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.92 : 2,757.14 = 1,113.76 : x
  2. Step 2: Convert to fraction form
    1,997.92/2,757.14 = 1,113.76/x
  3. Step 3: Cross multiply
    1,997.92x = 2,757.14 × 1,113.76
  4. Step 4: Simplify right side
    1,997.92x = 3,070,792.25
  5. Step 5: Solve for x
    x = 3,070,792.25/1,997.92
  6. Step 6: Final answer
    x = 1,536.99

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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.