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Finding the Fourth Proportional to 3,199.26, 4,800 and 1,444.08

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Solution

The fourth proportional to 3,199.26, 4,800 and 1,444.08 is: 2,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.26 : 4,800 = 1,444.08 : x
  2. Step 2: Convert to fraction form
    3,199.26/4,800 = 1,444.08/x
  3. Step 3: Cross multiply
    3,199.26x = 4,800 × 1,444.08
  4. Step 4: Simplify right side
    3,199.26x = 6,931,584
  5. Step 5: Solve for x
    x = 6,931,584/3,199.26
  6. Step 6: Final answer
    x = 2,166.62

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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.