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Finding the Fourth Proportional to 2,151.42, 3,226.82 and 690.38

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Solution

The fourth proportional to 2,151.42, 3,226.82 and 690.38 is: 1,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.42 : 3,226.82 = 690.38 : x
  2. Step 2: Convert to fraction form
    2,151.42/3,226.82 = 690.38/x
  3. Step 3: Cross multiply
    2,151.42x = 3,226.82 × 690.38
  4. Step 4: Simplify right side
    2,151.42x = 2,227,741.78
  5. Step 5: Solve for x
    x = 2,227,741.78/2,151.42
  6. Step 6: Final answer
    x = 1,035.48

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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.