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Finding the Fourth Proportional to 2,198.79, 3,298.18 and 900.26

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Solution

The fourth proportional to 2,198.79, 3,298.18 and 900.26 is: 1,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.79 : 3,298.18 = 900.26 : x
  2. Step 2: Convert to fraction form
    2,198.79/3,298.18 = 900.26/x
  3. Step 3: Cross multiply
    2,198.79x = 3,298.18 × 900.26
  4. Step 4: Simplify right side
    2,198.79x = 2,969,219.53
  5. Step 5: Solve for x
    x = 2,969,219.53/2,198.79
  6. Step 6: Final answer
    x = 1,350.39

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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.