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Finding the Fourth Proportional to 2,932.56, 4,398.03 and 852.75

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Solution

The fourth proportional to 2,932.56, 4,398.03 and 852.75 is: 1,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.56 : 4,398.03 = 852.75 : x
  2. Step 2: Convert to fraction form
    2,932.56/4,398.03 = 852.75/x
  3. Step 3: Cross multiply
    2,932.56x = 4,398.03 × 852.75
  4. Step 4: Simplify right side
    2,932.56x = 3,750,420.08
  5. Step 5: Solve for x
    x = 3,750,420.08/2,932.56
  6. Step 6: Final answer
    x = 1,278.89

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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.