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Finding the Fourth Proportional to 2,706.50, 3,734.07 and 1,822.79

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Solution

The fourth proportional to 2,706.50, 3,734.07 and 1,822.79 is: 2,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.50 : 3,734.07 = 1,822.79 : x
  2. Step 2: Convert to fraction form
    2,706.50/3,734.07 = 1,822.79/x
  3. Step 3: Cross multiply
    2,706.50x = 3,734.07 × 1,822.79
  4. Step 4: Simplify right side
    2,706.50x = 6,806,406.78
  5. Step 5: Solve for x
    x = 6,806,406.78/2,706.50
  6. Step 6: Final answer
    x = 2,514.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.