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Finding the Fourth Proportional to 2,940.80, 4,056.16 and 2,498

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Solution

The fourth proportional to 2,940.80, 4,056.16 and 2,498 is: 3,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.80 : 4,056.16 = 2,498 : x
  2. Step 2: Convert to fraction form
    2,940.80/4,056.16 = 2,498/x
  3. Step 3: Cross multiply
    2,940.80x = 4,056.16 × 2,498
  4. Step 4: Simplify right side
    2,940.80x = 10,132,287.68
  5. Step 5: Solve for x
    x = 10,132,287.68/2,940.80
  6. Step 6: Final answer
    x = 3,445.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.