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Finding the Fourth Proportional to 2,077.24, 3,115.86 and 517.24

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Solution

The fourth proportional to 2,077.24, 3,115.86 and 517.24 is: 775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.24 : 3,115.86 = 517.24 : x
  2. Step 2: Convert to fraction form
    2,077.24/3,115.86 = 517.24/x
  3. Step 3: Cross multiply
    2,077.24x = 3,115.86 × 517.24
  4. Step 4: Simplify right side
    2,077.24x = 1,611,647.43
  5. Step 5: Solve for x
    x = 1,611,647.43/2,077.24
  6. Step 6: Final answer
    x = 775.86

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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.