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Finding the Fourth Proportional to 2,932.66, 4,399.89 and 1,201.42

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Solution

The fourth proportional to 2,932.66, 4,399.89 and 1,201.42 is: 1,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.66 : 4,399.89 = 1,201.42 : x
  2. Step 2: Convert to fraction form
    2,932.66/4,399.89 = 1,201.42/x
  3. Step 3: Cross multiply
    2,932.66x = 4,399.89 × 1,201.42
  4. Step 4: Simplify right side
    2,932.66x = 5,286,115.84
  5. Step 5: Solve for x
    x = 5,286,115.84/2,932.66
  6. Step 6: Final answer
    x = 1,802.50

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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.