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Finding the Fourth Proportional to 3,241.64, 4,864 and 1,599.58

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Solution

The fourth proportional to 3,241.64, 4,864 and 1,599.58 is: 2,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.64 : 4,864 = 1,599.58 : x
  2. Step 2: Convert to fraction form
    3,241.64/4,864 = 1,599.58/x
  3. Step 3: Cross multiply
    3,241.64x = 4,864 × 1,599.58
  4. Step 4: Simplify right side
    3,241.64x = 7,780,357.12
  5. Step 5: Solve for x
    x = 7,780,357.12/3,241.64
  6. Step 6: Final answer
    x = 2,400.13

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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.