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Finding the Fourth Proportional to 2,585.09, 3,894.84 and 2,338.56

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Solution

The fourth proportional to 2,585.09, 3,894.84 and 2,338.56 is: 3,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.09 : 3,894.84 = 2,338.56 : x
  2. Step 2: Convert to fraction form
    2,585.09/3,894.84 = 2,338.56/x
  3. Step 3: Cross multiply
    2,585.09x = 3,894.84 × 2,338.56
  4. Step 4: Simplify right side
    2,585.09x = 9,108,317.03
  5. Step 5: Solve for x
    x = 9,108,317.03/2,585.09
  6. Step 6: Final answer
    x = 3,523.41

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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.