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Finding the Fourth Proportional to 2,713.76, 4,065.97 and 1,834.32

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Solution

The fourth proportional to 2,713.76, 4,065.97 and 1,834.32 is: 2,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.76 : 4,065.97 = 1,834.32 : x
  2. Step 2: Convert to fraction form
    2,713.76/4,065.97 = 1,834.32/x
  3. Step 3: Cross multiply
    2,713.76x = 4,065.97 × 1,834.32
  4. Step 4: Simplify right side
    2,713.76x = 7,458,290.09
  5. Step 5: Solve for x
    x = 7,458,290.09/2,713.76
  6. Step 6: Final answer
    x = 2,748.32

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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.