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Finding the Fourth Proportional to 1,632.91, 2,450.40 and 854.31

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Solution

The fourth proportional to 1,632.91, 2,450.40 and 854.31 is: 1,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.91 : 2,450.40 = 854.31 : x
  2. Step 2: Convert to fraction form
    1,632.91/2,450.40 = 854.31/x
  3. Step 3: Cross multiply
    1,632.91x = 2,450.40 × 854.31
  4. Step 4: Simplify right side
    1,632.91x = 2,093,401.22
  5. Step 5: Solve for x
    x = 2,093,401.22/1,632.91
  6. Step 6: Final answer
    x = 1,282.01

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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.