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Finding the Fourth Proportional to 2,584.37, 3,878.18 and 2,418.32

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Solution

The fourth proportional to 2,584.37, 3,878.18 and 2,418.32 is: 3,629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.37 : 3,878.18 = 2,418.32 : x
  2. Step 2: Convert to fraction form
    2,584.37/3,878.18 = 2,418.32/x
  3. Step 3: Cross multiply
    2,584.37x = 3,878.18 × 2,418.32
  4. Step 4: Simplify right side
    2,584.37x = 9,378,680.26
  5. Step 5: Solve for x
    x = 9,378,680.26/2,584.37
  6. Step 6: Final answer
    x = 3,629.00

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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.