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Finding the Fourth Proportional to 2,351.26, 3,526.89 and 964.36

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Solution

The fourth proportional to 2,351.26, 3,526.89 and 964.36 is: 1,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.26 : 3,526.89 = 964.36 : x
  2. Step 2: Convert to fraction form
    2,351.26/3,526.89 = 964.36/x
  3. Step 3: Cross multiply
    2,351.26x = 3,526.89 × 964.36
  4. Step 4: Simplify right side
    2,351.26x = 3,401,174.01
  5. Step 5: Solve for x
    x = 3,401,174.01/2,351.26
  6. Step 6: Final answer
    x = 1,446.54

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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.