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Finding the Fourth Proportional to 1,997.87, 2,756.84 and 1,113.62

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Solution

The fourth proportional to 1,997.87, 2,756.84 and 1,113.62 is: 1,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.87 : 2,756.84 = 1,113.62 : x
  2. Step 2: Convert to fraction form
    1,997.87/2,756.84 = 1,113.62/x
  3. Step 3: Cross multiply
    1,997.87x = 2,756.84 × 1,113.62
  4. Step 4: Simplify right side
    1,997.87x = 3,070,052.81
  5. Step 5: Solve for x
    x = 3,070,052.81/1,997.87
  6. Step 6: Final answer
    x = 1,536.67

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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.