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Finding the Fourth Proportional to 2,796.81, 3,860.72 and 1,734.80

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Solution

The fourth proportional to 2,796.81, 3,860.72 and 1,734.80 is: 2,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.81 : 3,860.72 = 1,734.80 : x
  2. Step 2: Convert to fraction form
    2,796.81/3,860.72 = 1,734.80/x
  3. Step 3: Cross multiply
    2,796.81x = 3,860.72 × 1,734.80
  4. Step 4: Simplify right side
    2,796.81x = 6,697,549.08
  5. Step 5: Solve for x
    x = 6,697,549.08/2,796.81
  6. Step 6: Final answer
    x = 2,394.71

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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.