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Finding the Fourth Proportional to 2,196.98, 3,296.68 and 899.36

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Solution

The fourth proportional to 2,196.98, 3,296.68 and 899.36 is: 1,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.98 : 3,296.68 = 899.36 : x
  2. Step 2: Convert to fraction form
    2,196.98/3,296.68 = 899.36/x
  3. Step 3: Cross multiply
    2,196.98x = 3,296.68 × 899.36
  4. Step 4: Simplify right side
    2,196.98x = 2,964,902.12
  5. Step 5: Solve for x
    x = 2,964,902.12/2,196.98
  6. Step 6: Final answer
    x = 1,349.54

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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.