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Finding the Fourth Proportional to 2,714.44, 4,065.96 and 1,735.56

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Solution

The fourth proportional to 2,714.44, 4,065.96 and 1,735.56 is: 2,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.44 : 4,065.96 = 1,735.56 : x
  2. Step 2: Convert to fraction form
    2,714.44/4,065.96 = 1,735.56/x
  3. Step 3: Cross multiply
    2,714.44x = 4,065.96 × 1,735.56
  4. Step 4: Simplify right side
    2,714.44x = 7,056,717.54
  5. Step 5: Solve for x
    x = 7,056,717.54/2,714.44
  6. Step 6: Final answer
    x = 2,599.70

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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.