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Finding the Fourth Proportional to 2,198.81, 3,298.18 and 899.36

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Solution

The fourth proportional to 2,198.81, 3,298.18 and 899.36 is: 1,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.81 : 3,298.18 = 899.36 : x
  2. Step 2: Convert to fraction form
    2,198.81/3,298.18 = 899.36/x
  3. Step 3: Cross multiply
    2,198.81x = 3,298.18 × 899.36
  4. Step 4: Simplify right side
    2,198.81x = 2,966,251.16
  5. Step 5: Solve for x
    x = 2,966,251.16/2,198.81
  6. Step 6: Final answer
    x = 1,349.03

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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.