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Finding the Fourth Proportional to 2,714.05, 4,059.93 and 2,167.30

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Solution

The fourth proportional to 2,714.05, 4,059.93 and 2,167.30 is: 3,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.05 : 4,059.93 = 2,167.30 : x
  2. Step 2: Convert to fraction form
    2,714.05/4,059.93 = 2,167.30/x
  3. Step 3: Cross multiply
    2,714.05x = 4,059.93 × 2,167.30
  4. Step 4: Simplify right side
    2,714.05x = 8,799,086.29
  5. Step 5: Solve for x
    x = 8,799,086.29/2,714.05
  6. Step 6: Final answer
    x = 3,242.05

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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.