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Finding the Fourth Proportional to 1,630.97, 2,249.74 and 967.38

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Solution

The fourth proportional to 1,630.97, 2,249.74 and 967.38 is: 1,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.97 : 2,249.74 = 967.38 : x
  2. Step 2: Convert to fraction form
    1,630.97/2,249.74 = 967.38/x
  3. Step 3: Cross multiply
    1,630.97x = 2,249.74 × 967.38
  4. Step 4: Simplify right side
    1,630.97x = 2,176,346.25
  5. Step 5: Solve for x
    x = 2,176,346.25/1,630.97
  6. Step 6: Final answer
    x = 1,334.39

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1.5x scale

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.