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Finding the Fourth Proportional to 2,441.00, 3,661.59 and 709.62

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Solution

The fourth proportional to 2,441.00, 3,661.59 and 709.62 is: 1,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.00 : 3,661.59 = 709.62 : x
  2. Step 2: Convert to fraction form
    2,441.00/3,661.59 = 709.62/x
  3. Step 3: Cross multiply
    2,441.00x = 3,661.59 × 709.62
  4. Step 4: Simplify right side
    2,441.00x = 2,598,340.16
  5. Step 5: Solve for x
    x = 2,598,340.16/2,441.00
  6. Step 6: Final answer
    x = 1,064.46

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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.