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Finding the Fourth Proportional to 2,907.65, 4,360.82 and 827.60

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Solution

The fourth proportional to 2,907.65, 4,360.82 and 827.60 is: 1,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.65 : 4,360.82 = 827.60 : x
  2. Step 2: Convert to fraction form
    2,907.65/4,360.82 = 827.60/x
  3. Step 3: Cross multiply
    2,907.65x = 4,360.82 × 827.60
  4. Step 4: Simplify right side
    2,907.65x = 3,609,021.40
  5. Step 5: Solve for x
    x = 3,609,021.40/2,907.65
  6. Step 6: Final answer
    x = 1,241.22

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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.