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Finding the Fourth Proportional to 2,912.75, 4,369.19 and 860.75

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Solution

The fourth proportional to 2,912.75, 4,369.19 and 860.75 is: 1,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.75 : 4,369.19 = 860.75 : x
  2. Step 2: Convert to fraction form
    2,912.75/4,369.19 = 860.75/x
  3. Step 3: Cross multiply
    2,912.75x = 4,369.19 × 860.75
  4. Step 4: Simplify right side
    2,912.75x = 3,760,780.29
  5. Step 5: Solve for x
    x = 3,760,780.29/2,912.75
  6. Step 6: Final answer
    x = 1,291.14

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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.