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Finding the Fourth Proportional to 2,167.79, 2,991.32 and 1,223.48

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Solution

The fourth proportional to 2,167.79, 2,991.32 and 1,223.48 is: 1,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.79 : 2,991.32 = 1,223.48 : x
  2. Step 2: Convert to fraction form
    2,167.79/2,991.32 = 1,223.48/x
  3. Step 3: Cross multiply
    2,167.79x = 2,991.32 × 1,223.48
  4. Step 4: Simplify right side
    2,167.79x = 3,659,821.55
  5. Step 5: Solve for x
    x = 3,659,821.55/2,167.79
  6. Step 6: Final answer
    x = 1,688.28

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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.