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Finding the Fourth Proportional to 2,714.70, 4,096.13 and 2,676.30

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Solution

The fourth proportional to 2,714.70, 4,096.13 and 2,676.30 is: 4,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.70 : 4,096.13 = 2,676.30 : x
  2. Step 2: Convert to fraction form
    2,714.70/4,096.13 = 2,676.30/x
  3. Step 3: Cross multiply
    2,714.70x = 4,096.13 × 2,676.30
  4. Step 4: Simplify right side
    2,714.70x = 10,962,459.34
  5. Step 5: Solve for x
    x = 10,962,459.34/2,714.70
  6. Step 6: Final answer
    x = 4,038.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.