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Finding the Fourth Proportional to 2,716.05, 4,074.08 and 867.18

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Solution

The fourth proportional to 2,716.05, 4,074.08 and 867.18 is: 1,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.05 : 4,074.08 = 867.18 : x
  2. Step 2: Convert to fraction form
    2,716.05/4,074.08 = 867.18/x
  3. Step 3: Cross multiply
    2,716.05x = 4,074.08 × 867.18
  4. Step 4: Simplify right side
    2,716.05x = 3,532,956.36
  5. Step 5: Solve for x
    x = 3,532,956.36/2,716.05
  6. Step 6: Final answer
    x = 1,300.77

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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.