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Finding the Fourth Proportional to 2,396.60, 3,592.42 and 1,736.86

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Solution

The fourth proportional to 2,396.60, 3,592.42 and 1,736.86 is: 2,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.60 : 3,592.42 = 1,736.86 : x
  2. Step 2: Convert to fraction form
    2,396.60/3,592.42 = 1,736.86/x
  3. Step 3: Cross multiply
    2,396.60x = 3,592.42 × 1,736.86
  4. Step 4: Simplify right side
    2,396.60x = 6,239,530.60
  5. Step 5: Solve for x
    x = 6,239,530.60/2,396.60
  6. Step 6: Final answer
    x = 2,603.49

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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.