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Finding the Fourth Proportional to 2,860.74, 3,967.88 and 2,744.10

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Solution

The fourth proportional to 2,860.74, 3,967.88 and 2,744.10 is: 3,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.74 : 3,967.88 = 2,744.10 : x
  2. Step 2: Convert to fraction form
    2,860.74/3,967.88 = 2,744.10/x
  3. Step 3: Cross multiply
    2,860.74x = 3,967.88 × 2,744.10
  4. Step 4: Simplify right side
    2,860.74x = 10,888,245.79
  5. Step 5: Solve for x
    x = 10,888,245.79/2,860.74
  6. Step 6: Final answer
    x = 3,806.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.