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Finding the Fourth Proportional to 2,167.54, 2,991.52 and 1,283.62

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Solution

The fourth proportional to 2,167.54, 2,991.52 and 1,283.62 is: 1,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.54 : 2,991.52 = 1,283.62 : x
  2. Step 2: Convert to fraction form
    2,167.54/2,991.52 = 1,283.62/x
  3. Step 3: Cross multiply
    2,167.54x = 2,991.52 × 1,283.62
  4. Step 4: Simplify right side
    2,167.54x = 3,839,974.90
  5. Step 5: Solve for x
    x = 3,839,974.90/2,167.54
  6. Step 6: Final answer
    x = 1,771.58

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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.