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Finding the Fourth Proportional to 2,601, 3,902.13 and 869.64

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Solution

The fourth proportional to 2,601, 3,902.13 and 869.64 is: 1,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601 : 3,902.13 = 869.64 : x
  2. Step 2: Convert to fraction form
    2,601/3,902.13 = 869.64/x
  3. Step 3: Cross multiply
    2,601x = 3,902.13 × 869.64
  4. Step 4: Simplify right side
    2,601x = 3,393,448.33
  5. Step 5: Solve for x
    x = 3,393,448.33/2,601
  6. Step 6: Final answer
    x = 1,304.67

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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.