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Finding the Fourth Proportional to 2,441.28, 3,661.56 and 709.44

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Solution

The fourth proportional to 2,441.28, 3,661.56 and 709.44 is: 1,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.28 : 3,661.56 = 709.44 : x
  2. Step 2: Convert to fraction form
    2,441.28/3,661.56 = 709.44/x
  3. Step 3: Cross multiply
    2,441.28x = 3,661.56 × 709.44
  4. Step 4: Simplify right side
    2,441.28x = 2,597,657.13
  5. Step 5: Solve for x
    x = 2,597,657.13/2,441.28
  6. Step 6: Final answer
    x = 1,064.06

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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.