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Finding the Fourth Proportional to 1,635.23, 2,453.11 and 813.35

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Solution

The fourth proportional to 1,635.23, 2,453.11 and 813.35 is: 1,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.23 : 2,453.11 = 813.35 : x
  2. Step 2: Convert to fraction form
    1,635.23/2,453.11 = 813.35/x
  3. Step 3: Cross multiply
    1,635.23x = 2,453.11 × 813.35
  4. Step 4: Simplify right side
    1,635.23x = 1,995,222.72
  5. Step 5: Solve for x
    x = 1,995,222.72/1,635.23
  6. Step 6: Final answer
    x = 1,220.15

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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.