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Finding the Fourth Proportional to 2,418.12, 3,627.79 and 957.29

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Solution

The fourth proportional to 2,418.12, 3,627.79 and 957.29 is: 1,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.12 : 3,627.79 = 957.29 : x
  2. Step 2: Convert to fraction form
    2,418.12/3,627.79 = 957.29/x
  3. Step 3: Cross multiply
    2,418.12x = 3,627.79 × 957.29
  4. Step 4: Simplify right side
    2,418.12x = 3,472,826.56
  5. Step 5: Solve for x
    x = 3,472,826.56/2,418.12
  6. Step 6: Final answer
    x = 1,436.17

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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.