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Finding the Fourth Proportional to 2,396.42, 3,590.02 and 1,469.27

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Solution

The fourth proportional to 2,396.42, 3,590.02 and 1,469.27 is: 2,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.42 : 3,590.02 = 1,469.27 : x
  2. Step 2: Convert to fraction form
    2,396.42/3,590.02 = 1,469.27/x
  3. Step 3: Cross multiply
    2,396.42x = 3,590.02 × 1,469.27
  4. Step 4: Simplify right side
    2,396.42x = 5,274,719.50
  5. Step 5: Solve for x
    x = 5,274,719.50/2,396.42
  6. Step 6: Final answer
    x = 2,201.08

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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.