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Finding the Fourth Proportional to 2,747, 3,790.84 and 1,567.84

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Solution

The fourth proportional to 2,747, 3,790.84 and 1,567.84 is: 2,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747 : 3,790.84 = 1,567.84 : x
  2. Step 2: Convert to fraction form
    2,747/3,790.84 = 1,567.84/x
  3. Step 3: Cross multiply
    2,747x = 3,790.84 × 1,567.84
  4. Step 4: Simplify right side
    2,747x = 5,943,430.59
  5. Step 5: Solve for x
    x = 5,943,430.59/2,747
  6. Step 6: Final answer
    x = 2,163.61

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