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Finding the Fourth Proportional to 4,472.33, 6,706.44 and 1,660.46

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Solution

The fourth proportional to 4,472.33, 6,706.44 and 1,660.46 is: 2,489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.33 : 6,706.44 = 1,660.46 : x
  2. Step 2: Convert to fraction form
    4,472.33/6,706.44 = 1,660.46/x
  3. Step 3: Cross multiply
    4,472.33x = 6,706.44 × 1,660.46
  4. Step 4: Simplify right side
    4,472.33x = 11,135,775.36
  5. Step 5: Solve for x
    x = 11,135,775.36/4,472.33
  6. Step 6: Final answer
    x = 2,489.93

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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.