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Finding the Fourth Proportional to 2,276.44, 3,414.39 and 716.38

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Solution

The fourth proportional to 2,276.44, 3,414.39 and 716.38 is: 1,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.44 : 3,414.39 = 716.38 : x
  2. Step 2: Convert to fraction form
    2,276.44/3,414.39 = 716.38/x
  3. Step 3: Cross multiply
    2,276.44x = 3,414.39 × 716.38
  4. Step 4: Simplify right side
    2,276.44x = 2,446,000.71
  5. Step 5: Solve for x
    x = 2,446,000.71/2,276.44
  6. Step 6: Final answer
    x = 1,074.49

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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.