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Finding the Fourth Proportional to 2,382.02, 3,573.07 and 650.65

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Solution

The fourth proportional to 2,382.02, 3,573.07 and 650.65 is: 975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.02 : 3,573.07 = 650.65 : x
  2. Step 2: Convert to fraction form
    2,382.02/3,573.07 = 650.65/x
  3. Step 3: Cross multiply
    2,382.02x = 3,573.07 × 650.65
  4. Step 4: Simplify right side
    2,382.02x = 2,324,807.44
  5. Step 5: Solve for x
    x = 2,324,807.44/2,382.02
  6. Step 6: Final answer
    x = 975.98

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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.