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Finding the Fourth Proportional to 4,532.93, 6,799.61 and 1,611.46

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Solution

The fourth proportional to 4,532.93, 6,799.61 and 1,611.46 is: 2,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.93 : 6,799.61 = 1,611.46 : x
  2. Step 2: Convert to fraction form
    4,532.93/6,799.61 = 1,611.46/x
  3. Step 3: Cross multiply
    4,532.93x = 6,799.61 × 1,611.46
  4. Step 4: Simplify right side
    4,532.93x = 10,957,299.53
  5. Step 5: Solve for x
    x = 10,957,299.53/4,532.93
  6. Step 6: Final answer
    x = 2,417.27

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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.