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Finding the Fourth Proportional to 2,724.50, 4,087.33 and 993.13

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Solution

The fourth proportional to 2,724.50, 4,087.33 and 993.13 is: 1,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.50 : 4,087.33 = 993.13 : x
  2. Step 2: Convert to fraction form
    2,724.50/4,087.33 = 993.13/x
  3. Step 3: Cross multiply
    2,724.50x = 4,087.33 × 993.13
  4. Step 4: Simplify right side
    2,724.50x = 4,059,237.34
  5. Step 5: Solve for x
    x = 4,059,237.34/2,724.50
  6. Step 6: Final answer
    x = 1,489.90

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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.