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Finding the Fourth Proportional to 2,182.71, 3,011.64 and 1,238.27

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Solution

The fourth proportional to 2,182.71, 3,011.64 and 1,238.27 is: 1,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.71 : 3,011.64 = 1,238.27 : x
  2. Step 2: Convert to fraction form
    2,182.71/3,011.64 = 1,238.27/x
  3. Step 3: Cross multiply
    2,182.71x = 3,011.64 × 1,238.27
  4. Step 4: Simplify right side
    2,182.71x = 3,729,223.46
  5. Step 5: Solve for x
    x = 3,729,223.46/2,182.71
  6. Step 6: Final answer
    x = 1,708.53

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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.