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Finding the Fourth Proportional to 3,044.28, 4,566.42 and 964.47

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Solution

The fourth proportional to 3,044.28, 4,566.42 and 964.47 is: 1,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.28 : 4,566.42 = 964.47 : x
  2. Step 2: Convert to fraction form
    3,044.28/4,566.42 = 964.47/x
  3. Step 3: Cross multiply
    3,044.28x = 4,566.42 × 964.47
  4. Step 4: Simplify right side
    3,044.28x = 4,404,175.10
  5. Step 5: Solve for x
    x = 4,404,175.10/3,044.28
  6. Step 6: Final answer
    x = 1,446.71

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Similar ratio
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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.