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Finding the Fourth Proportional to 1,997.78, 2,756.95 and 1,113.57

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Solution

The fourth proportional to 1,997.78, 2,756.95 and 1,113.57 is: 1,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.78 : 2,756.95 = 1,113.57 : x
  2. Step 2: Convert to fraction form
    1,997.78/2,756.95 = 1,113.57/x
  3. Step 3: Cross multiply
    1,997.78x = 2,756.95 × 1,113.57
  4. Step 4: Simplify right side
    1,997.78x = 3,070,044.35
  5. Step 5: Solve for x
    x = 3,070,044.35/1,997.78
  6. Step 6: Final answer
    x = 1,536.73

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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.