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Finding the Fourth Proportional to 2,527.88, 3,792 and 1,489.40

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Solution

The fourth proportional to 2,527.88, 3,792 and 1,489.40 is: 2,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.88 : 3,792 = 1,489.40 : x
  2. Step 2: Convert to fraction form
    2,527.88/3,792 = 1,489.40/x
  3. Step 3: Cross multiply
    2,527.88x = 3,792 × 1,489.40
  4. Step 4: Simplify right side
    2,527.88x = 5,647,804.80
  5. Step 5: Solve for x
    x = 5,647,804.80/2,527.88
  6. Step 6: Final answer
    x = 2,234.21

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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.