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Finding the Fourth Proportional to 2,784.28, 4,175.39 and 835.82

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Solution

The fourth proportional to 2,784.28, 4,175.39 and 835.82 is: 1,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.28 : 4,175.39 = 835.82 : x
  2. Step 2: Convert to fraction form
    2,784.28/4,175.39 = 835.82/x
  3. Step 3: Cross multiply
    2,784.28x = 4,175.39 × 835.82
  4. Step 4: Simplify right side
    2,784.28x = 3,489,874.47
  5. Step 5: Solve for x
    x = 3,489,874.47/2,784.28
  6. Step 6: Final answer
    x = 1,253.42

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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.