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Finding the Fourth Proportional to 2,232.53, 3,350.33 and 771.69

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Solution

The fourth proportional to 2,232.53, 3,350.33 and 771.69 is: 1,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.53 : 3,350.33 = 771.69 : x
  2. Step 2: Convert to fraction form
    2,232.53/3,350.33 = 771.69/x
  3. Step 3: Cross multiply
    2,232.53x = 3,350.33 × 771.69
  4. Step 4: Simplify right side
    2,232.53x = 2,585,416.16
  5. Step 5: Solve for x
    x = 2,585,416.16/2,232.53
  6. Step 6: Final answer
    x = 1,158.07

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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.