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Finding the Fourth Proportional to 2,935.71, 4,404.56 and 961.44

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Solution

The fourth proportional to 2,935.71, 4,404.56 and 961.44 is: 1,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.71 : 4,404.56 = 961.44 : x
  2. Step 2: Convert to fraction form
    2,935.71/4,404.56 = 961.44/x
  3. Step 3: Cross multiply
    2,935.71x = 4,404.56 × 961.44
  4. Step 4: Simplify right side
    2,935.71x = 4,234,715.36
  5. Step 5: Solve for x
    x = 4,234,715.36/2,935.71
  6. Step 6: Final answer
    x = 1,442.48

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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.