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Finding the Fourth Proportional to 2,309.75, 3,464.49 and 1,011.21

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Solution

The fourth proportional to 2,309.75, 3,464.49 and 1,011.21 is: 1,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.75 : 3,464.49 = 1,011.21 : x
  2. Step 2: Convert to fraction form
    2,309.75/3,464.49 = 1,011.21/x
  3. Step 3: Cross multiply
    2,309.75x = 3,464.49 × 1,011.21
  4. Step 4: Simplify right side
    2,309.75x = 3,503,326.93
  5. Step 5: Solve for x
    x = 3,503,326.93/2,309.75
  6. Step 6: Final answer
    x = 1,516.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.