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Finding the Fourth Proportional to 4,208.81, 6,314.13 and 1,611.75

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Solution

The fourth proportional to 4,208.81, 6,314.13 and 1,611.75 is: 2,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.81 : 6,314.13 = 1,611.75 : x
  2. Step 2: Convert to fraction form
    4,208.81/6,314.13 = 1,611.75/x
  3. Step 3: Cross multiply
    4,208.81x = 6,314.13 × 1,611.75
  4. Step 4: Simplify right side
    4,208.81x = 10,176,799.03
  5. Step 5: Solve for x
    x = 10,176,799.03/4,208.81
  6. Step 6: Final answer
    x = 2,417.97

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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.