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Finding the Fourth Proportional to 1,997.72, 2,756.82 and 1,113.50

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Solution

The fourth proportional to 1,997.72, 2,756.82 and 1,113.50 is: 1,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.72 : 2,756.82 = 1,113.50 : x
  2. Step 2: Convert to fraction form
    1,997.72/2,756.82 = 1,113.50/x
  3. Step 3: Cross multiply
    1,997.72x = 2,756.82 × 1,113.50
  4. Step 4: Simplify right side
    1,997.72x = 3,069,705.29
  5. Step 5: Solve for x
    x = 3,069,705.29/1,997.72
  6. Step 6: Final answer
    x = 1,536.61

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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.