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Finding the Fourth Proportional to 2,446.25, 3,669.38 and 1,078.25

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Solution

The fourth proportional to 2,446.25, 3,669.38 and 1,078.25 is: 1,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.25 : 3,669.38 = 1,078.25 : x
  2. Step 2: Convert to fraction form
    2,446.25/3,669.38 = 1,078.25/x
  3. Step 3: Cross multiply
    2,446.25x = 3,669.38 × 1,078.25
  4. Step 4: Simplify right side
    2,446.25x = 3,956,508.99
  5. Step 5: Solve for x
    x = 3,956,508.99/2,446.25
  6. Step 6: Final answer
    x = 1,617.38

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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.