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Finding the Fourth Proportional to 3,343.59, 5,015.79 and 1,611

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Solution

The fourth proportional to 3,343.59, 5,015.79 and 1,611 is: 2,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.59 : 5,015.79 = 1,611 : x
  2. Step 2: Convert to fraction form
    3,343.59/5,015.79 = 1,611/x
  3. Step 3: Cross multiply
    3,343.59x = 5,015.79 × 1,611
  4. Step 4: Simplify right side
    3,343.59x = 8,080,437.69
  5. Step 5: Solve for x
    x = 8,080,437.69/3,343.59
  6. Step 6: Final answer
    x = 2,416.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.