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Finding the Fourth Proportional to 2,706.33, 4,065.98 and 1,734.33

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Solution

The fourth proportional to 2,706.33, 4,065.98 and 1,734.33 is: 2,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.33 : 4,065.98 = 1,734.33 : x
  2. Step 2: Convert to fraction form
    2,706.33/4,065.98 = 1,734.33/x
  3. Step 3: Cross multiply
    2,706.33x = 4,065.98 × 1,734.33
  4. Step 4: Simplify right side
    2,706.33x = 7,051,751.09
  5. Step 5: Solve for x
    x = 7,051,751.09/2,706.33
  6. Step 6: Final answer
    x = 2,605.65

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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.