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Finding the Fourth Proportional to 2,441.13, 3,662.30 and 709.75

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Solution

The fourth proportional to 2,441.13, 3,662.30 and 709.75 is: 1,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.13 : 3,662.30 = 709.75 : x
  2. Step 2: Convert to fraction form
    2,441.13/3,662.30 = 709.75/x
  3. Step 3: Cross multiply
    2,441.13x = 3,662.30 × 709.75
  4. Step 4: Simplify right side
    2,441.13x = 2,599,317.43
  5. Step 5: Solve for x
    x = 2,599,317.43/2,441.13
  6. Step 6: Final answer
    x = 1,064.80

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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.