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Finding the Fourth Proportional to 2,940.20, 4,409.52 and 992

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Solution

The fourth proportional to 2,940.20, 4,409.52 and 992 is: 1,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.20 : 4,409.52 = 992 : x
  2. Step 2: Convert to fraction form
    2,940.20/4,409.52 = 992/x
  3. Step 3: Cross multiply
    2,940.20x = 4,409.52 × 992
  4. Step 4: Simplify right side
    2,940.20x = 4,374,243.84
  5. Step 5: Solve for x
    x = 4,374,243.84/2,940.20
  6. Step 6: Final answer
    x = 1,487.74

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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.