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Finding the Fourth Proportional to 2,351.72, 3,527.58 and 965.08

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Solution

The fourth proportional to 2,351.72, 3,527.58 and 965.08 is: 1,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.72 : 3,527.58 = 965.08 : x
  2. Step 2: Convert to fraction form
    2,351.72/3,527.58 = 965.08/x
  3. Step 3: Cross multiply
    2,351.72x = 3,527.58 × 965.08
  4. Step 4: Simplify right side
    2,351.72x = 3,404,396.91
  5. Step 5: Solve for x
    x = 3,404,396.91/2,351.72
  6. Step 6: Final answer
    x = 1,447.62

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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.