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Finding the Fourth Proportional to 2,441.04, 3,661.60 and 709.68

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Solution

The fourth proportional to 2,441.04, 3,661.60 and 709.68 is: 1,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.04 : 3,661.60 = 709.68 : x
  2. Step 2: Convert to fraction form
    2,441.04/3,661.60 = 709.68/x
  3. Step 3: Cross multiply
    2,441.04x = 3,661.60 × 709.68
  4. Step 4: Simplify right side
    2,441.04x = 2,598,564.29
  5. Step 5: Solve for x
    x = 2,598,564.29/2,441.04
  6. Step 6: Final answer
    x = 1,064.53

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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.