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Finding the Fourth Proportional to 4,527.43, 6,792.46 and 1,605.96

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Solution

The fourth proportional to 4,527.43, 6,792.46 and 1,605.96 is: 2,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.43 : 6,792.46 = 1,605.96 : x
  2. Step 2: Convert to fraction form
    4,527.43/6,792.46 = 1,605.96/x
  3. Step 3: Cross multiply
    4,527.43x = 6,792.46 × 1,605.96
  4. Step 4: Simplify right side
    4,527.43x = 10,908,415.05
  5. Step 5: Solve for x
    x = 10,908,415.05/4,527.43
  6. Step 6: Final answer
    x = 2,409.41

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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.