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Finding the Fourth Proportional to 2,310.72, 3,464.16 and 1,665.60

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Solution

The fourth proportional to 2,310.72, 3,464.16 and 1,665.60 is: 2,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.72 : 3,464.16 = 1,665.60 : x
  2. Step 2: Convert to fraction form
    2,310.72/3,464.16 = 1,665.60/x
  3. Step 3: Cross multiply
    2,310.72x = 3,464.16 × 1,665.60
  4. Step 4: Simplify right side
    2,310.72x = 5,769,904.90
  5. Step 5: Solve for x
    x = 5,769,904.90/2,310.72
  6. Step 6: Final answer
    x = 2,497.02

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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.