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Finding the Fourth Proportional to 1,635.75, 2,450.34 and 811.53

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Solution

The fourth proportional to 1,635.75, 2,450.34 and 811.53 is: 1,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.75 : 2,450.34 = 811.53 : x
  2. Step 2: Convert to fraction form
    1,635.75/2,450.34 = 811.53/x
  3. Step 3: Cross multiply
    1,635.75x = 2,450.34 × 811.53
  4. Step 4: Simplify right side
    1,635.75x = 1,988,524.42
  5. Step 5: Solve for x
    x = 1,988,524.42/1,635.75
  6. Step 6: Final answer
    x = 1,215.67

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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.