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Finding the Fourth Proportional to 2,247.40, 3,372.64 and 786.56

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Solution

The fourth proportional to 2,247.40, 3,372.64 and 786.56 is: 1,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.40 : 3,372.64 = 786.56 : x
  2. Step 2: Convert to fraction form
    2,247.40/3,372.64 = 786.56/x
  3. Step 3: Cross multiply
    2,247.40x = 3,372.64 × 786.56
  4. Step 4: Simplify right side
    2,247.40x = 2,652,783.72
  5. Step 5: Solve for x
    x = 2,652,783.72/2,247.40
  6. Step 6: Final answer
    x = 1,180.38

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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.