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Finding the Fourth Proportional to 2,427.28, 3,640.94 and 783.80

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Solution

The fourth proportional to 2,427.28, 3,640.94 and 783.80 is: 1,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.28 : 3,640.94 = 783.80 : x
  2. Step 2: Convert to fraction form
    2,427.28/3,640.94 = 783.80/x
  3. Step 3: Cross multiply
    2,427.28x = 3,640.94 × 783.80
  4. Step 4: Simplify right side
    2,427.28x = 2,853,768.77
  5. Step 5: Solve for x
    x = 2,853,768.77/2,427.28
  6. Step 6: Final answer
    x = 1,175.71

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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.