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Finding the Fourth Proportional to 4,290.93, 6,436.68 and 1,659.69

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Solution

The fourth proportional to 4,290.93, 6,436.68 and 1,659.69 is: 2,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.93 : 6,436.68 = 1,659.69 : x
  2. Step 2: Convert to fraction form
    4,290.93/6,436.68 = 1,659.69/x
  3. Step 3: Cross multiply
    4,290.93x = 6,436.68 × 1,659.69
  4. Step 4: Simplify right side
    4,290.93x = 10,682,893.43
  5. Step 5: Solve for x
    x = 10,682,893.43/4,290.93
  6. Step 6: Final answer
    x = 2,489.65

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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.