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Finding the Fourth Proportional to 2,077, 3,116.18 and 1,452.94

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Solution

The fourth proportional to 2,077, 3,116.18 and 1,452.94 is: 2,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077 : 3,116.18 = 1,452.94 : x
  2. Step 2: Convert to fraction form
    2,077/3,116.18 = 1,452.94/x
  3. Step 3: Cross multiply
    2,077x = 3,116.18 × 1,452.94
  4. Step 4: Simplify right side
    2,077x = 4,527,615.30
  5. Step 5: Solve for x
    x = 4,527,615.30/2,077
  6. Step 6: Final answer
    x = 2,179.88

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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.