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Finding the Fourth Proportional to 2,414.24, 3,621.92 and 854.25

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Solution

The fourth proportional to 2,414.24, 3,621.92 and 854.25 is: 1,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.24 : 3,621.92 = 854.25 : x
  2. Step 2: Convert to fraction form
    2,414.24/3,621.92 = 854.25/x
  3. Step 3: Cross multiply
    2,414.24x = 3,621.92 × 854.25
  4. Step 4: Simplify right side
    2,414.24x = 3,094,007.31
  5. Step 5: Solve for x
    x = 3,094,007.31/2,414.24
  6. Step 6: Final answer
    x = 1,281.57

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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.