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Finding the Fourth Proportional to 2,964.97, 4,447.62 and 1,321.63

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Solution

The fourth proportional to 2,964.97, 4,447.62 and 1,321.63 is: 1,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.97 : 4,447.62 = 1,321.63 : x
  2. Step 2: Convert to fraction form
    2,964.97/4,447.62 = 1,321.63/x
  3. Step 3: Cross multiply
    2,964.97x = 4,447.62 × 1,321.63
  4. Step 4: Simplify right side
    2,964.97x = 5,878,108.02
  5. Step 5: Solve for x
    x = 5,878,108.02/2,964.97
  6. Step 6: Final answer
    x = 1,982.52

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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.