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Finding the Fourth Proportional to 2,536.97, 3,805.12 and 1,076.47

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Solution

The fourth proportional to 2,536.97, 3,805.12 and 1,076.47 is: 1,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.97 : 3,805.12 = 1,076.47 : x
  2. Step 2: Convert to fraction form
    2,536.97/3,805.12 = 1,076.47/x
  3. Step 3: Cross multiply
    2,536.97x = 3,805.12 × 1,076.47
  4. Step 4: Simplify right side
    2,536.97x = 4,096,085.32
  5. Step 5: Solve for x
    x = 4,096,085.32/2,536.97
  6. Step 6: Final answer
    x = 1,614.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.