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Finding the Fourth Proportional to 2,398.78, 3,288.73 and 2,355.04

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Solution

The fourth proportional to 2,398.78, 3,288.73 and 2,355.04 is: 3,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.78 : 3,288.73 = 2,355.04 : x
  2. Step 2: Convert to fraction form
    2,398.78/3,288.73 = 2,355.04/x
  3. Step 3: Cross multiply
    2,398.78x = 3,288.73 × 2,355.04
  4. Step 4: Simplify right side
    2,398.78x = 7,745,078.92
  5. Step 5: Solve for x
    x = 7,745,078.92/2,398.78
  6. Step 6: Final answer
    x = 3,228.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.