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Finding the Fourth Proportional to 2,404.20, 3,603.60 and 1,017.30

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Solution

The fourth proportional to 2,404.20, 3,603.60 and 1,017.30 is: 1,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.20 : 3,603.60 = 1,017.30 : x
  2. Step 2: Convert to fraction form
    2,404.20/3,603.60 = 1,017.30/x
  3. Step 3: Cross multiply
    2,404.20x = 3,603.60 × 1,017.30
  4. Step 4: Simplify right side
    2,404.20x = 3,665,942.28
  5. Step 5: Solve for x
    x = 3,665,942.28/2,404.20
  6. Step 6: Final answer
    x = 1,524.81

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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.