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Finding the Fourth Proportional to 2,198.14, 3,297.56 and 716.87

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Solution

The fourth proportional to 2,198.14, 3,297.56 and 716.87 is: 1,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.14 : 3,297.56 = 716.87 : x
  2. Step 2: Convert to fraction form
    2,198.14/3,297.56 = 716.87/x
  3. Step 3: Cross multiply
    2,198.14x = 3,297.56 × 716.87
  4. Step 4: Simplify right side
    2,198.14x = 2,363,926.50
  5. Step 5: Solve for x
    x = 2,363,926.50/2,198.14
  6. Step 6: Final answer
    x = 1,075.42

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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.