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Finding the Fourth Proportional to 1,997.37, 2,756.43 and 1,113.12

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Solution

The fourth proportional to 1,997.37, 2,756.43 and 1,113.12 is: 1,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.37 : 2,756.43 = 1,113.12 : x
  2. Step 2: Convert to fraction form
    1,997.37/2,756.43 = 1,113.12/x
  3. Step 3: Cross multiply
    1,997.37x = 2,756.43 × 1,113.12
  4. Step 4: Simplify right side
    1,997.37x = 3,068,237.36
  5. Step 5: Solve for x
    x = 3,068,237.36/1,997.37
  6. Step 6: Final answer
    x = 1,536.14

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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.