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Finding the Fourth Proportional to 2,351.69, 3,527.53 and 965.78

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Solution

The fourth proportional to 2,351.69, 3,527.53 and 965.78 is: 1,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.69 : 3,527.53 = 965.78 : x
  2. Step 2: Convert to fraction form
    2,351.69/3,527.53 = 965.78/x
  3. Step 3: Cross multiply
    2,351.69x = 3,527.53 × 965.78
  4. Step 4: Simplify right side
    2,351.69x = 3,406,817.92
  5. Step 5: Solve for x
    x = 3,406,817.92/2,351.69
  6. Step 6: Final answer
    x = 1,448.67

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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.