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Finding the Fourth Proportional to 2,379.38, 3,569.00 and 735.89

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Solution

The fourth proportional to 2,379.38, 3,569.00 and 735.89 is: 1,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.38 : 3,569.00 = 735.89 : x
  2. Step 2: Convert to fraction form
    2,379.38/3,569.00 = 735.89/x
  3. Step 3: Cross multiply
    2,379.38x = 3,569.00 × 735.89
  4. Step 4: Simplify right side
    2,379.38x = 2,626,369.89
  5. Step 5: Solve for x
    x = 2,626,369.89/2,379.38
  6. Step 6: Final answer
    x = 1,103.81

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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.