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Finding the Fourth Proportional to 3,176.87, 4,384.02 and 1,999.94

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Solution

The fourth proportional to 3,176.87, 4,384.02 and 1,999.94 is: 2,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.87 : 4,384.02 = 1,999.94 : x
  2. Step 2: Convert to fraction form
    3,176.87/4,384.02 = 1,999.94/x
  3. Step 3: Cross multiply
    3,176.87x = 4,384.02 × 1,999.94
  4. Step 4: Simplify right side
    3,176.87x = 8,767,776.96
  5. Step 5: Solve for x
    x = 8,767,776.96/3,176.87
  6. Step 6: Final answer
    x = 2,759.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.