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Finding the Fourth Proportional to 2,404.12, 3,603.70 and 1,744.35

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Solution

The fourth proportional to 2,404.12, 3,603.70 and 1,744.35 is: 2,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.12 : 3,603.70 = 1,744.35 : x
  2. Step 2: Convert to fraction form
    2,404.12/3,603.70 = 1,744.35/x
  3. Step 3: Cross multiply
    2,404.12x = 3,603.70 × 1,744.35
  4. Step 4: Simplify right side
    2,404.12x = 6,286,105.37
  5. Step 5: Solve for x
    x = 6,286,105.37/2,404.12
  6. Step 6: Final answer
    x = 2,614.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.