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Finding the Fourth Proportional to 2,582.06, 3,892.16 and 2,431.53

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Solution

The fourth proportional to 2,582.06, 3,892.16 and 2,431.53 is: 3,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.06 : 3,892.16 = 2,431.53 : x
  2. Step 2: Convert to fraction form
    2,582.06/3,892.16 = 2,431.53/x
  3. Step 3: Cross multiply
    2,582.06x = 3,892.16 × 2,431.53
  4. Step 4: Simplify right side
    2,582.06x = 9,463,891.65
  5. Step 5: Solve for x
    x = 9,463,891.65/2,582.06
  6. Step 6: Final answer
    x = 3,665.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.