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Finding the Fourth Proportional to 4,786.96, 7,180.86 and 1,666.48

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Solution

The fourth proportional to 4,786.96, 7,180.86 and 1,666.48 is: 2,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.96 : 7,180.86 = 1,666.48 : x
  2. Step 2: Convert to fraction form
    4,786.96/7,180.86 = 1,666.48/x
  3. Step 3: Cross multiply
    4,786.96x = 7,180.86 × 1,666.48
  4. Step 4: Simplify right side
    4,786.96x = 11,966,759.57
  5. Step 5: Solve for x
    x = 11,966,759.57/4,786.96
  6. Step 6: Final answer
    x = 2,499.87

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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.