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Finding the Fourth Proportional to 2,782.71, 4,171.66 and 1,138.21

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Solution

The fourth proportional to 2,782.71, 4,171.66 and 1,138.21 is: 1,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.71 : 4,171.66 = 1,138.21 : x
  2. Step 2: Convert to fraction form
    2,782.71/4,171.66 = 1,138.21/x
  3. Step 3: Cross multiply
    2,782.71x = 4,171.66 × 1,138.21
  4. Step 4: Simplify right side
    2,782.71x = 4,748,211.85
  5. Step 5: Solve for x
    x = 4,748,211.85/2,782.71
  6. Step 6: Final answer
    x = 1,706.33

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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.