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Finding the Fourth Proportional to 2,806.75, 4,210.13 and 754.75

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Solution

The fourth proportional to 2,806.75, 4,210.13 and 754.75 is: 1,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.75 : 4,210.13 = 754.75 : x
  2. Step 2: Convert to fraction form
    2,806.75/4,210.13 = 754.75/x
  3. Step 3: Cross multiply
    2,806.75x = 4,210.13 × 754.75
  4. Step 4: Simplify right side
    2,806.75x = 3,177,595.62
  5. Step 5: Solve for x
    x = 3,177,595.62/2,806.75
  6. Step 6: Final answer
    x = 1,132.13

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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.