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Finding the Fourth Proportional to 3,367.76, 4,646.70 and 1,932.27

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Solution

The fourth proportional to 3,367.76, 4,646.70 and 1,932.27 is: 2,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.76 : 4,646.70 = 1,932.27 : x
  2. Step 2: Convert to fraction form
    3,367.76/4,646.70 = 1,932.27/x
  3. Step 3: Cross multiply
    3,367.76x = 4,646.70 × 1,932.27
  4. Step 4: Simplify right side
    3,367.76x = 8,978,679.01
  5. Step 5: Solve for x
    x = 8,978,679.01/3,367.76
  6. Step 6: Final answer
    x = 2,666.07

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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.