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Finding the Fourth Proportional to 2,351.54, 3,526.73 and 965.27

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Solution

The fourth proportional to 2,351.54, 3,526.73 and 965.27 is: 1,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.54 : 3,526.73 = 965.27 : x
  2. Step 2: Convert to fraction form
    2,351.54/3,526.73 = 965.27/x
  3. Step 3: Cross multiply
    2,351.54x = 3,526.73 × 965.27
  4. Step 4: Simplify right side
    2,351.54x = 3,404,246.67
  5. Step 5: Solve for x
    x = 3,404,246.67/2,351.54
  6. Step 6: Final answer
    x = 1,447.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.