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Finding the Fourth Proportional to 2,015.00, 3,022.50 and 716.57

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Solution

The fourth proportional to 2,015.00, 3,022.50 and 716.57 is: 1,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.00 : 3,022.50 = 716.57 : x
  2. Step 2: Convert to fraction form
    2,015.00/3,022.50 = 716.57/x
  3. Step 3: Cross multiply
    2,015.00x = 3,022.50 × 716.57
  4. Step 4: Simplify right side
    2,015.00x = 2,165,817.71
  5. Step 5: Solve for x
    x = 2,165,817.71/2,015.00
  6. Step 6: Final answer
    x = 1,074.85

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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.