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Finding the Fourth Proportional to 2,167.50, 2,990.81 and 1,223.21

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Solution

The fourth proportional to 2,167.50, 2,990.81 and 1,223.21 is: 1,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.50 : 2,990.81 = 1,223.21 : x
  2. Step 2: Convert to fraction form
    2,167.50/2,990.81 = 1,223.21/x
  3. Step 3: Cross multiply
    2,167.50x = 2,990.81 × 1,223.21
  4. Step 4: Simplify right side
    2,167.50x = 3,658,388.70
  5. Step 5: Solve for x
    x = 3,658,388.70/2,167.50
  6. Step 6: Final answer
    x = 1,687.84

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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.