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Finding the Fourth Proportional to 2,634.89, 3,953.07 and 786.08

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Solution

The fourth proportional to 2,634.89, 3,953.07 and 786.08 is: 1,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.89 : 3,953.07 = 786.08 : x
  2. Step 2: Convert to fraction form
    2,634.89/3,953.07 = 786.08/x
  3. Step 3: Cross multiply
    2,634.89x = 3,953.07 × 786.08
  4. Step 4: Simplify right side
    2,634.89x = 3,107,439.15
  5. Step 5: Solve for x
    x = 3,107,439.15/2,634.89
  6. Step 6: Final answer
    x = 1,179.35

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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.