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Finding the Fourth Proportional to 2,716.02, 4,073.99 and 867.11

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Solution

The fourth proportional to 2,716.02, 4,073.99 and 867.11 is: 1,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.02 : 4,073.99 = 867.11 : x
  2. Step 2: Convert to fraction form
    2,716.02/4,073.99 = 867.11/x
  3. Step 3: Cross multiply
    2,716.02x = 4,073.99 × 867.11
  4. Step 4: Simplify right side
    2,716.02x = 3,532,585.28
  5. Step 5: Solve for x
    x = 3,532,585.28/2,716.02
  6. Step 6: Final answer
    x = 1,300.65

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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.