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Finding the Fourth Proportional to 2,932.74, 4,399.85 and 852.69

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Solution

The fourth proportional to 2,932.74, 4,399.85 and 852.69 is: 1,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.74 : 4,399.85 = 852.69 : x
  2. Step 2: Convert to fraction form
    2,932.74/4,399.85 = 852.69/x
  3. Step 3: Cross multiply
    2,932.74x = 4,399.85 × 852.69
  4. Step 4: Simplify right side
    2,932.74x = 3,751,703.83
  5. Step 5: Solve for x
    x = 3,751,703.83/2,932.74
  6. Step 6: Final answer
    x = 1,279.25

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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.