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Finding the Fourth Proportional to 2,145.32, 3,218.09 and 665.57

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Solution

The fourth proportional to 2,145.32, 3,218.09 and 665.57 is: 998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.32 : 3,218.09 = 665.57 : x
  2. Step 2: Convert to fraction form
    2,145.32/3,218.09 = 665.57/x
  3. Step 3: Cross multiply
    2,145.32x = 3,218.09 × 665.57
  4. Step 4: Simplify right side
    2,145.32x = 2,141,872.62
  5. Step 5: Solve for x
    x = 2,141,872.62/2,145.32
  6. Step 6: Final answer
    x = 998.39

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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.