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Finding the Fourth Proportional to 2,151.25, 3,226.57 and 690.21

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Solution

The fourth proportional to 2,151.25, 3,226.57 and 690.21 is: 1,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.25 : 3,226.57 = 690.21 : x
  2. Step 2: Convert to fraction form
    2,151.25/3,226.57 = 690.21/x
  3. Step 3: Cross multiply
    2,151.25x = 3,226.57 × 690.21
  4. Step 4: Simplify right side
    2,151.25x = 2,227,010.88
  5. Step 5: Solve for x
    x = 2,227,010.88/2,151.25
  6. Step 6: Final answer
    x = 1,035.22

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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.