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Finding the Fourth Proportional to 2,965.23, 4,446.43 and 884.51

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Solution

The fourth proportional to 2,965.23, 4,446.43 and 884.51 is: 1,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.23 : 4,446.43 = 884.51 : x
  2. Step 2: Convert to fraction form
    2,965.23/4,446.43 = 884.51/x
  3. Step 3: Cross multiply
    2,965.23x = 4,446.43 × 884.51
  4. Step 4: Simplify right side
    2,965.23x = 3,932,911.80
  5. Step 5: Solve for x
    x = 3,932,911.80/2,965.23
  6. Step 6: Final answer
    x = 1,326.34

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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.