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Finding the Fourth Proportional to 2,964.25, 4,446.33 and 884.26

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Solution

The fourth proportional to 2,964.25, 4,446.33 and 884.26 is: 1,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.25 : 4,446.33 = 884.26 : x
  2. Step 2: Convert to fraction form
    2,964.25/4,446.33 = 884.26/x
  3. Step 3: Cross multiply
    2,964.25x = 4,446.33 × 884.26
  4. Step 4: Simplify right side
    2,964.25x = 3,931,714.01
  5. Step 5: Solve for x
    x = 3,931,714.01/2,964.25
  6. Step 6: Final answer
    x = 1,326.38

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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.