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Finding the Fourth Proportional to 2,152.09, 3,227.41 and 690.90

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Solution

The fourth proportional to 2,152.09, 3,227.41 and 690.90 is: 1,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.09 : 3,227.41 = 690.90 : x
  2. Step 2: Convert to fraction form
    2,152.09/3,227.41 = 690.90/x
  3. Step 3: Cross multiply
    2,152.09x = 3,227.41 × 690.90
  4. Step 4: Simplify right side
    2,152.09x = 2,229,817.57
  5. Step 5: Solve for x
    x = 2,229,817.57/2,152.09
  6. Step 6: Final answer
    x = 1,036.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.