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Finding the Fourth Proportional to 2,634.06, 3,951.79 and 785.18

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Solution

The fourth proportional to 2,634.06, 3,951.79 and 785.18 is: 1,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.06 : 3,951.79 = 785.18 : x
  2. Step 2: Convert to fraction form
    2,634.06/3,951.79 = 785.18/x
  3. Step 3: Cross multiply
    2,634.06x = 3,951.79 × 785.18
  4. Step 4: Simplify right side
    2,634.06x = 3,102,866.47
  5. Step 5: Solve for x
    x = 3,102,866.47/2,634.06
  6. Step 6: Final answer
    x = 1,177.98

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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.