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Finding the Fourth Proportional to 2,634.15, 3,951.40 and 785.12

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Solution

The fourth proportional to 2,634.15, 3,951.40 and 785.12 is: 1,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.15 : 3,951.40 = 785.12 : x
  2. Step 2: Convert to fraction form
    2,634.15/3,951.40 = 785.12/x
  3. Step 3: Cross multiply
    2,634.15x = 3,951.40 × 785.12
  4. Step 4: Simplify right side
    2,634.15x = 3,102,319.21
  5. Step 5: Solve for x
    x = 3,102,319.21/2,634.15
  6. Step 6: Final answer
    x = 1,177.73

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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.