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Finding the Fourth Proportional to 2,310.72, 3,464.64 and 1,285.44

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Solution

The fourth proportional to 2,310.72, 3,464.64 and 1,285.44 is: 1,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.72 : 3,464.64 = 1,285.44 : x
  2. Step 2: Convert to fraction form
    2,310.72/3,464.64 = 1,285.44/x
  3. Step 3: Cross multiply
    2,310.72x = 3,464.64 × 1,285.44
  4. Step 4: Simplify right side
    2,310.72x = 4,453,586.84
  5. Step 5: Solve for x
    x = 4,453,586.84/2,310.72
  6. Step 6: Final answer
    x = 1,927.36

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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.