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Finding the Fourth Proportional to 2,747.51, 3,790.70 and 1,684.17

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Solution

The fourth proportional to 2,747.51, 3,790.70 and 1,684.17 is: 2,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.51 : 3,790.70 = 1,684.17 : x
  2. Step 2: Convert to fraction form
    2,747.51/3,790.70 = 1,684.17/x
  3. Step 3: Cross multiply
    2,747.51x = 3,790.70 × 1,684.17
  4. Step 4: Simplify right side
    2,747.51x = 6,384,174.80
  5. Step 5: Solve for x
    x = 6,384,174.80/2,747.51
  6. Step 6: Final answer
    x = 2,323.63

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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.