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Finding the Fourth Proportional to 2,932.62, 4,047.02 and 1,606.42

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Solution

The fourth proportional to 2,932.62, 4,047.02 and 1,606.42 is: 2,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.62 : 4,047.02 = 1,606.42 : x
  2. Step 2: Convert to fraction form
    2,932.62/4,047.02 = 1,606.42/x
  3. Step 3: Cross multiply
    2,932.62x = 4,047.02 × 1,606.42
  4. Step 4: Simplify right side
    2,932.62x = 6,501,213.87
  5. Step 5: Solve for x
    x = 6,501,213.87/2,932.62
  6. Step 6: Final answer
    x = 2,216.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.