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Finding the Fourth Proportional to 2,907.26, 4,360.94 and 827.32

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Solution

The fourth proportional to 2,907.26, 4,360.94 and 827.32 is: 1,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.26 : 4,360.94 = 827.32 : x
  2. Step 2: Convert to fraction form
    2,907.26/4,360.94 = 827.32/x
  3. Step 3: Cross multiply
    2,907.26x = 4,360.94 × 827.32
  4. Step 4: Simplify right side
    2,907.26x = 3,607,896.11
  5. Step 5: Solve for x
    x = 3,607,896.11/2,907.26
  6. Step 6: Final answer
    x = 1,240.99

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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.