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Finding the Fourth Proportional to 2,247.80, 3,373.19 and 786.95

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Solution

The fourth proportional to 2,247.80, 3,373.19 and 786.95 is: 1,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.80 : 3,373.19 = 786.95 : x
  2. Step 2: Convert to fraction form
    2,247.80/3,373.19 = 786.95/x
  3. Step 3: Cross multiply
    2,247.80x = 3,373.19 × 786.95
  4. Step 4: Simplify right side
    2,247.80x = 2,654,515.00
  5. Step 5: Solve for x
    x = 2,654,515.00/2,247.80
  6. Step 6: Final answer
    x = 1,180.94

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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.