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Finding the Fourth Proportional to 2,382.25, 3,573.62 and 650.88

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Solution

The fourth proportional to 2,382.25, 3,573.62 and 650.88 is: 976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.25 : 3,573.62 = 650.88 : x
  2. Step 2: Convert to fraction form
    2,382.25/3,573.62 = 650.88/x
  3. Step 3: Cross multiply
    2,382.25x = 3,573.62 × 650.88
  4. Step 4: Simplify right side
    2,382.25x = 2,325,981.54
  5. Step 5: Solve for x
    x = 2,325,981.54/2,382.25
  6. Step 6: Final answer
    x = 976.38

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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.