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Finding the Fourth Proportional to 2,635.67, 3,954.15 and 786.75

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Solution

The fourth proportional to 2,635.67, 3,954.15 and 786.75 is: 1,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.67 : 3,954.15 = 786.75 : x
  2. Step 2: Convert to fraction form
    2,635.67/3,954.15 = 786.75/x
  3. Step 3: Cross multiply
    2,635.67x = 3,954.15 × 786.75
  4. Step 4: Simplify right side
    2,635.67x = 3,110,927.51
  5. Step 5: Solve for x
    x = 3,110,927.51/2,635.67
  6. Step 6: Final answer
    x = 1,180.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.