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Finding the Fourth Proportional to 3,115.75, 4,670.52 and 1,469.35

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Solution

The fourth proportional to 3,115.75, 4,670.52 and 1,469.35 is: 2,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.75 : 4,670.52 = 1,469.35 : x
  2. Step 2: Convert to fraction form
    3,115.75/4,670.52 = 1,469.35/x
  3. Step 3: Cross multiply
    3,115.75x = 4,670.52 × 1,469.35
  4. Step 4: Simplify right side
    3,115.75x = 6,862,628.56
  5. Step 5: Solve for x
    x = 6,862,628.56/3,115.75
  6. Step 6: Final answer
    x = 2,202.56

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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.