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Finding the Fourth Proportional to 4,208.68, 6,312.20 and 1,611

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Solution

The fourth proportional to 4,208.68, 6,312.20 and 1,611 is: 2,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.68 : 6,312.20 = 1,611 : x
  2. Step 2: Convert to fraction form
    4,208.68/6,312.20 = 1,611/x
  3. Step 3: Cross multiply
    4,208.68x = 6,312.20 × 1,611
  4. Step 4: Simplify right side
    4,208.68x = 10,168,954.20
  5. Step 5: Solve for x
    x = 10,168,954.20/4,208.68
  6. Step 6: Final answer
    x = 2,416.19

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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.