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Finding the Fourth Proportional to 2,932.50, 4,399.38 and 852.54

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Solution

The fourth proportional to 2,932.50, 4,399.38 and 852.54 is: 1,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.50 : 4,399.38 = 852.54 : x
  2. Step 2: Convert to fraction form
    2,932.50/4,399.38 = 852.54/x
  3. Step 3: Cross multiply
    2,932.50x = 4,399.38 × 852.54
  4. Step 4: Simplify right side
    2,932.50x = 3,750,647.43
  5. Step 5: Solve for x
    x = 3,750,647.43/2,932.50
  6. Step 6: Final answer
    x = 1,278.99

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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.