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Finding the Fourth Proportional to 2,197.44, 3,296.52 and 899.28

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Solution

The fourth proportional to 2,197.44, 3,296.52 and 899.28 is: 1,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.44 : 3,296.52 = 899.28 : x
  2. Step 2: Convert to fraction form
    2,197.44/3,296.52 = 899.28/x
  3. Step 3: Cross multiply
    2,197.44x = 3,296.52 × 899.28
  4. Step 4: Simplify right side
    2,197.44x = 2,964,494.51
  5. Step 5: Solve for x
    x = 2,964,494.51/2,197.44
  6. Step 6: Final answer
    x = 1,349.07

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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.