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Finding the Fourth Proportional to 3,304.80, 4,957.38 and 996.24

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Solution

The fourth proportional to 3,304.80, 4,957.38 and 996.24 is: 1,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.80 : 4,957.38 = 996.24 : x
  2. Step 2: Convert to fraction form
    3,304.80/4,957.38 = 996.24/x
  3. Step 3: Cross multiply
    3,304.80x = 4,957.38 × 996.24
  4. Step 4: Simplify right side
    3,304.80x = 4,938,740.25
  5. Step 5: Solve for x
    x = 4,938,740.25/3,304.80
  6. Step 6: Final answer
    x = 1,494.41

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1.5x scale

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.