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Finding the Fourth Proportional to 3,346.02, 5,011.74 and 1,611

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Solution

The fourth proportional to 3,346.02, 5,011.74 and 1,611 is: 2,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.02 : 5,011.74 = 1,611 : x
  2. Step 2: Convert to fraction form
    3,346.02/5,011.74 = 1,611/x
  3. Step 3: Cross multiply
    3,346.02x = 5,011.74 × 1,611
  4. Step 4: Simplify right side
    3,346.02x = 8,073,913.14
  5. Step 5: Solve for x
    x = 8,073,913.14/3,346.02
  6. Step 6: Final answer
    x = 2,412.99

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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.