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Finding the Fourth Proportional to 2,806.50, 4,209.75 and 754.50

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Solution

The fourth proportional to 2,806.50, 4,209.75 and 754.50 is: 1,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.50 : 4,209.75 = 754.50 : x
  2. Step 2: Convert to fraction form
    2,806.50/4,209.75 = 754.50/x
  3. Step 3: Cross multiply
    2,806.50x = 4,209.75 × 754.50
  4. Step 4: Simplify right side
    2,806.50x = 3,176,256.38
  5. Step 5: Solve for x
    x = 3,176,256.38/2,806.50
  6. Step 6: Final answer
    x = 1,131.75

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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.