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Finding the Fourth Proportional to 2,379.56, 3,568.03 and 735.65

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Solution

The fourth proportional to 2,379.56, 3,568.03 and 735.65 is: 1,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.56 : 3,568.03 = 735.65 : x
  2. Step 2: Convert to fraction form
    2,379.56/3,568.03 = 735.65/x
  3. Step 3: Cross multiply
    2,379.56x = 3,568.03 × 735.65
  4. Step 4: Simplify right side
    2,379.56x = 2,624,821.27
  5. Step 5: Solve for x
    x = 2,624,821.27/2,379.56
  6. Step 6: Final answer
    x = 1,103.07

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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.