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Finding the Fourth Proportional to 2,043.56, 2,820.12 and 1,257.44

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Solution

The fourth proportional to 2,043.56, 2,820.12 and 1,257.44 is: 1,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.56 : 2,820.12 = 1,257.44 : x
  2. Step 2: Convert to fraction form
    2,043.56/2,820.12 = 1,257.44/x
  3. Step 3: Cross multiply
    2,043.56x = 2,820.12 × 1,257.44
  4. Step 4: Simplify right side
    2,043.56x = 3,546,131.69
  5. Step 5: Solve for x
    x = 3,546,131.69/2,043.56
  6. Step 6: Final answer
    x = 1,735.27

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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.