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Finding the Fourth Proportional to 2,527.98, 3,790.65 and 796.14

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Solution

The fourth proportional to 2,527.98, 3,790.65 and 796.14 is: 1,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.98 : 3,790.65 = 796.14 : x
  2. Step 2: Convert to fraction form
    2,527.98/3,790.65 = 796.14/x
  3. Step 3: Cross multiply
    2,527.98x = 3,790.65 × 796.14
  4. Step 4: Simplify right side
    2,527.98x = 3,017,888.09
  5. Step 5: Solve for x
    x = 3,017,888.09/2,527.98
  6. Step 6: Final answer
    x = 1,193.79

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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.