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Finding the Fourth Proportional to 3,193.80, 4,792.15 and 1,437.84

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Solution

The fourth proportional to 3,193.80, 4,792.15 and 1,437.84 is: 2,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.80 : 4,792.15 = 1,437.84 : x
  2. Step 2: Convert to fraction form
    3,193.80/4,792.15 = 1,437.84/x
  3. Step 3: Cross multiply
    3,193.80x = 4,792.15 × 1,437.84
  4. Step 4: Simplify right side
    3,193.80x = 6,890,344.96
  5. Step 5: Solve for x
    x = 6,890,344.96/3,193.80
  6. Step 6: Final answer
    x = 2,157.41

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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.