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Finding the Fourth Proportional to 2,634.42, 3,950.96 and 785.06

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Solution

The fourth proportional to 2,634.42, 3,950.96 and 785.06 is: 1,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.42 : 3,950.96 = 785.06 : x
  2. Step 2: Convert to fraction form
    2,634.42/3,950.96 = 785.06/x
  3. Step 3: Cross multiply
    2,634.42x = 3,950.96 × 785.06
  4. Step 4: Simplify right side
    2,634.42x = 3,101,716.98
  5. Step 5: Solve for x
    x = 3,101,716.98/2,634.42
  6. Step 6: Final answer
    x = 1,177.38

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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.