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Finding the Fourth Proportional to 2,714.52, 4,076.20 and 2,512.40

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Solution

The fourth proportional to 2,714.52, 4,076.20 and 2,512.40 is: 3,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.52 : 4,076.20 = 2,512.40 : x
  2. Step 2: Convert to fraction form
    2,714.52/4,076.20 = 2,512.40/x
  3. Step 3: Cross multiply
    2,714.52x = 4,076.20 × 2,512.40
  4. Step 4: Simplify right side
    2,714.52x = 10,241,044.88
  5. Step 5: Solve for x
    x = 10,241,044.88/2,714.52
  6. Step 6: Final answer
    x = 3,772.69

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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.