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Finding the Fourth Proportional to 3,268.14, 4,509.80 and 1,923.56

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Solution

The fourth proportional to 3,268.14, 4,509.80 and 1,923.56 is: 2,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.14 : 4,509.80 = 1,923.56 : x
  2. Step 2: Convert to fraction form
    3,268.14/4,509.80 = 1,923.56/x
  3. Step 3: Cross multiply
    3,268.14x = 4,509.80 × 1,923.56
  4. Step 4: Simplify right side
    3,268.14x = 8,674,870.89
  5. Step 5: Solve for x
    x = 8,674,870.89/3,268.14
  6. Step 6: Final answer
    x = 2,654.38

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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.