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Finding the Fourth Proportional to 3,241.78, 4,863.83 and 1,599.50

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Solution

The fourth proportional to 3,241.78, 4,863.83 and 1,599.50 is: 2,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.78 : 4,863.83 = 1,599.50 : x
  2. Step 2: Convert to fraction form
    3,241.78/4,863.83 = 1,599.50/x
  3. Step 3: Cross multiply
    3,241.78x = 4,863.83 × 1,599.50
  4. Step 4: Simplify right side
    3,241.78x = 7,779,696.09
  5. Step 5: Solve for x
    x = 7,779,696.09/3,241.78
  6. Step 6: Final answer
    x = 2,399.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.