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Finding the Fourth Proportional to 2,167.50, 2,990.84 and 1,223.22

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Solution

The fourth proportional to 2,167.50, 2,990.84 and 1,223.22 is: 1,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.50 : 2,990.84 = 1,223.22 : x
  2. Step 2: Convert to fraction form
    2,167.50/2,990.84 = 1,223.22/x
  3. Step 3: Cross multiply
    2,167.50x = 2,990.84 × 1,223.22
  4. Step 4: Simplify right side
    2,167.50x = 3,658,455.30
  5. Step 5: Solve for x
    x = 3,658,455.30/2,167.50
  6. Step 6: Final answer
    x = 1,687.87

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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.