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Finding the Fourth Proportional to 2,714.37, 4,072.28 and 1,154.44

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Solution

The fourth proportional to 2,714.37, 4,072.28 and 1,154.44 is: 1,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.37 : 4,072.28 = 1,154.44 : x
  2. Step 2: Convert to fraction form
    2,714.37/4,072.28 = 1,154.44/x
  3. Step 3: Cross multiply
    2,714.37x = 4,072.28 × 1,154.44
  4. Step 4: Simplify right side
    2,714.37x = 4,701,202.92
  5. Step 5: Solve for x
    x = 4,701,202.92/2,714.37
  6. Step 6: Final answer
    x = 1,731.97

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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.