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Finding the Fourth Proportional to 2,162.25, 3,240.36 and 989.42

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Solution

The fourth proportional to 2,162.25, 3,240.36 and 989.42 is: 1,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.25 : 3,240.36 = 989.42 : x
  2. Step 2: Convert to fraction form
    2,162.25/3,240.36 = 989.42/x
  3. Step 3: Cross multiply
    2,162.25x = 3,240.36 × 989.42
  4. Step 4: Simplify right side
    2,162.25x = 3,206,060.79
  5. Step 5: Solve for x
    x = 3,206,060.79/2,162.25
  6. Step 6: Final answer
    x = 1,482.74

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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.