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Finding the Fourth Proportional to 2,167.31, 2,991.27 and 1,283.54

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Solution

The fourth proportional to 2,167.31, 2,991.27 and 1,283.54 is: 1,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.31 : 2,991.27 = 1,283.54 : x
  2. Step 2: Convert to fraction form
    2,167.31/2,991.27 = 1,283.54/x
  3. Step 3: Cross multiply
    2,167.31x = 2,991.27 × 1,283.54
  4. Step 4: Simplify right side
    2,167.31x = 3,839,422.17
  5. Step 5: Solve for x
    x = 3,839,422.17/2,167.31
  6. Step 6: Final answer
    x = 1,771.52

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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.